Metrics for Optimal throwing angle

start0.0ms (0%)

Memory: 0.1MiB live, 0.8MiB allocated

analyze54.0ms (0.7%)

Memory

-0.6MiB live, 77.8MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
25%	25%	74.9%	0.1%	0%	0%	0%	3
37.5%	37.5%	62.4%	0.1%	0%	0%	0%	4
50%	43.7%	43.7%	0.1%	0%	12.5%	0%	5
60.7%	53.1%	34.3%	0.1%	0%	12.5%	0%	6
72.2%	60.9%	23.4%	0.1%	0%	15.6%	0%	7
79.4%	63.2%	16.4%	0.1%	0%	20.3%	0%	8
85.6%	67.5%	11.3%	0.1%	0%	21.1%	0%	9
89.6%	68.9%	8%	0.1%	0%	23%	0%	10
92.7%	71.1%	5.6%	0.1%	0%	23.2%	0%	11
94.8%	71.9%	4%	0.1%	0%	24.1%	0%	12

Compiler

Compiled 15 to 13 computations (13.3% saved)

sample1.4s (17.9%)

Memory

-112.3MiB live, 1 671.9MiB allocated

Samples

839.0ms	8 256×	0	valid
8.0ms	99×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 619.0ms

ival-mult: 231.0ms (37.3% of total)

const: 124.0ms (20% of total)

ival-atan: 84.0ms (13.6% of total)

ival-sqrt: 63.0ms (10.2% of total)

ival-div: 61.0ms (9.9% of total)

ival-sub: 41.0ms (6.6% of total)

ival-true: 7.0ms (1.1% of total)

exact: 5.0ms (0.8% of total)

ival-assert: 3.0ms (0.5% of total)

Bogosity

explain139.0ms (1.8%)

Memory

10.3MiB live, 327.0MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
72	-	-	`(sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))`
0	-	-	`(*.f64 v v)`
0	-	-	`(*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64))`
0	-	-	`(atan.f64 (/.f64 v (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))))`
0	-	-	`v`
0	-	-	`#s(literal 2 binary64)`
0	-	-	`(.f64 (.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)`
0	-	-	`(-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))`
0	-	-	`H`
0	-	-	`#s(literal 49/5 binary64)`
0	-	-	`(/.f64 v (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`sqrt.f64`	`(sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))`	oflow-rescue	72	0
↳	`(-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))`	overflow	72
↳	`(*.f64 v v)`	overflow	71
↳	`(.f64 (.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)`	overflow	2

Confusion

	Predicted +	Predicted -
+	72	2
-	0	182

Precision

1.0

Recall

0.972972972972973

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	72	0	2
-	0	0	182

Precision?

1.0

Recall?

0.972972972972973

Freqs

test

number	freq
0	184
1	72

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	0	0	0

Precision?

1.0

Recall?

1.0

Samples

54.0ms	502×	0	valid
7.0ms	10×	5	exit

Compiler

Compiled 194 to 48 computations (75.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 42.0ms

ival-mult: 12.0ms (28.7% of total)

const: 10.0ms (23.9% of total)

ival-div: 5.0ms (12% of total)

ival-atan: 5.0ms (12% of total)

ival-sqrt: 4.0ms (9.6% of total)

ival-sub: 3.0ms (7.2% of total)

adjust: 1.0ms (2.4% of total)

ival-true: 1.0ms (2.4% of total)

ival-assert: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

preprocess50.0ms (0.6%)

Memory

6.7MiB live, 43.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	61
1	63	59
2	118	59
3	223	59
4	391	59
5	639	59
6	866	59
7	1009	59
8	1154	59
9	1188	59
10	1204	59
0	11	11
0	19	11
1	26	11
2	36	11
3	45	11
4	61	11
5	82	11
6	126	11
7	173	11
8	229	11
9	286	11
10	375	11
11	415	11
12	504	11
13	526	11
14	534	11
0	534	10

Stop Event

1×	iter limit
1×	saturated
1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(atan.f64 (/.f64 v (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))))

Outputs
(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))))

Compiler

Compiled 13 to 11 computations (15.4% saved)

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune1.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	71.8%	(atan.f64 (/.f64 v (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))))

Compiler

Compiled 13 to 11 computations (15.4% saved)

simplify21.0ms (0.3%)

Memory

-14.7MiB live, 26.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 v (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))
cost-diff	0	(atan.f64 (/.f64 v (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))))
cost-diff	128	(-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))
cost-diff	320	(*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	47
0	19	47
1	26	47
2	36	47
3	45	47
4	61	47
5	82	47
6	126	47
7	173	47
8	229	47
9	286	47
10	375	47
11	415	47
12	504	47
13	526	47
14	534	47
0	534	43

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(atan.f64 (/.f64 v (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))))
(/.f64 v (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))
v
(sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))
(-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))
(*.f64 v v)
(.f64 (.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)
(*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64))
#s(literal 2 binary64)
#s(literal 49/5 binary64)
H

Outputs
(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))))
(/.f64 v (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))))
v
(sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))
(fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))
(*.f64 v v)
(*.f64 H #s(literal 98/5 binary64))
#s(literal 98/5 binary64)
#s(literal 2 binary64)
#s(literal 49/5 binary64)
H

localize38.0ms (0.5%)

Memory

8.9MiB live, 45.6MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.017910009768442016	(-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))
accuracy	0.08203125	(/.f64 v (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))
accuracy	0.515625	(.f64 (.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)
accuracy	16.887833999892653	(sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))

Samples

25.0ms	251×	0	valid
4.0ms	5×	5	exit

Compiler

Compiled 120 to 24 computations (80% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

ival-mult: 5.0ms (27.9% of total)

const: 4.0ms (22.3% of total)

ival-div: 2.0ms (11.2% of total)

ival-atan: 2.0ms (11.2% of total)

ival-sqrt: 2.0ms (11.2% of total)

ival-sub: 1.0ms (5.6% of total)

adjust: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

series21.0ms (0.3%)

Memory

-8.6MiB live, 28.3MiB allocated

Counts

6 → 108

Calls

Call 1

Inputs
#s(alt #<batchref> (patch (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (atan.f64 (/.f64 v (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 v (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 (.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H) #<representation binary64>) () ())

Outputs
#s(alt #<batchref> (taylor 0 v) (#s(alt #<batchref> (patch (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 v) (#s(alt #<batchref> (patch (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 v) (#s(alt #<batchref> (patch (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 v) (#s(alt #<batchref> (patch (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 v) (#s(alt #<batchref> (patch (atan.f64 (/.f64 v (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 v) (#s(alt #<batchref> (patch (atan.f64 (/.f64 v (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 v) (#s(alt #<batchref> (patch (atan.f64 (/.f64 v (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 v) (#s(alt #<batchref> (patch (atan.f64 (/.f64 v (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 v) (#s(alt #<batchref> (patch (/.f64 v (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 v) (#s(alt #<batchref> (patch (/.f64 v (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 v) (#s(alt #<batchref> (patch (/.f64 v (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 v) (#s(alt #<batchref> (patch (/.f64 v (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 v) (#s(alt #<batchref> (patch (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 v) (#s(alt #<batchref> (patch (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 v) (#s(alt #<batchref> (patch (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 v) (#s(alt #<batchref> (patch (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf v) (#s(alt #<batchref> (patch (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf v) (#s(alt #<batchref> (patch (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf v) (#s(alt #<batchref> (patch (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf v) (#s(alt #<batchref> (patch (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf v) (#s(alt #<batchref> (patch (atan.f64 (/.f64 v (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf v) (#s(alt #<batchref> (patch (atan.f64 (/.f64 v (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf v) (#s(alt #<batchref> (patch (atan.f64 (/.f64 v (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf v) (#s(alt #<batchref> (patch (atan.f64 (/.f64 v (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf v) (#s(alt #<batchref> (patch (/.f64 v (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf v) (#s(alt #<batchref> (patch (/.f64 v (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf v) (#s(alt #<batchref> (patch (/.f64 v (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf v) (#s(alt #<batchref> (patch (/.f64 v (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf v) (#s(alt #<batchref> (patch (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf v) (#s(alt #<batchref> (patch (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf v) (#s(alt #<batchref> (patch (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf v) (#s(alt #<batchref> (patch (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf v) (#s(alt #<batchref> (patch (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf v) (#s(alt #<batchref> (patch (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf v) (#s(alt #<batchref> (patch (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf v) (#s(alt #<batchref> (patch (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf v) (#s(alt #<batchref> (patch (atan.f64 (/.f64 v (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf v) (#s(alt #<batchref> (patch (atan.f64 (/.f64 v (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf v) (#s(alt #<batchref> (patch (atan.f64 (/.f64 v (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf v) (#s(alt #<batchref> (patch (atan.f64 (/.f64 v (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf v) (#s(alt #<batchref> (patch (/.f64 v (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf v) (#s(alt #<batchref> (patch (/.f64 v (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf v) (#s(alt #<batchref> (patch (/.f64 v (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf v) (#s(alt #<batchref> (patch (/.f64 v (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf v) (#s(alt #<batchref> (patch (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf v) (#s(alt #<batchref> (patch (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf v) (#s(alt #<batchref> (patch (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf v) (#s(alt #<batchref> (patch (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 H) (#s(alt #<batchref> (patch (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 H) (#s(alt #<batchref> (patch (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 H) (#s(alt #<batchref> (patch (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 H) (#s(alt #<batchref> (patch (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 H) (#s(alt #<batchref> (patch (atan.f64 (/.f64 v (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 H) (#s(alt #<batchref> (patch (atan.f64 (/.f64 v (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 H) (#s(alt #<batchref> (patch (atan.f64 (/.f64 v (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 H) (#s(alt #<batchref> (patch (atan.f64 (/.f64 v (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 H) (#s(alt #<batchref> (patch (/.f64 v (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 H) (#s(alt #<batchref> (patch (/.f64 v (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 H) (#s(alt #<batchref> (patch (/.f64 v (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 H) (#s(alt #<batchref> (patch (/.f64 v (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 H) (#s(alt #<batchref> (patch (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 H) (#s(alt #<batchref> (patch (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 H) (#s(alt #<batchref> (patch (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 H) (#s(alt #<batchref> (patch (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 H) (#s(alt #<batchref> (patch (.f64 (.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 H) (#s(alt #<batchref> (patch (.f64 (.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 H) (#s(alt #<batchref> (patch (.f64 (.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 H) (#s(alt #<batchref> (patch (.f64 (.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf H) (#s(alt #<batchref> (patch (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf H) (#s(alt #<batchref> (patch (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf H) (#s(alt #<batchref> (patch (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf H) (#s(alt #<batchref> (patch (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf H) (#s(alt #<batchref> (patch (atan.f64 (/.f64 v (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf H) (#s(alt #<batchref> (patch (atan.f64 (/.f64 v (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf H) (#s(alt #<batchref> (patch (atan.f64 (/.f64 v (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf H) (#s(alt #<batchref> (patch (atan.f64 (/.f64 v (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf H) (#s(alt #<batchref> (patch (/.f64 v (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf H) (#s(alt #<batchref> (patch (/.f64 v (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf H) (#s(alt #<batchref> (patch (/.f64 v (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf H) (#s(alt #<batchref> (patch (/.f64 v (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf H) (#s(alt #<batchref> (patch (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf H) (#s(alt #<batchref> (patch (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf H) (#s(alt #<batchref> (patch (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf H) (#s(alt #<batchref> (patch (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf H) (#s(alt #<batchref> (patch (.f64 (.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf H) (#s(alt #<batchref> (patch (.f64 (.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf H) (#s(alt #<batchref> (patch (.f64 (.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf H) (#s(alt #<batchref> (patch (.f64 (.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf H) (#s(alt #<batchref> (patch (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf H) (#s(alt #<batchref> (patch (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf H) (#s(alt #<batchref> (patch (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf H) (#s(alt #<batchref> (patch (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf H) (#s(alt #<batchref> (patch (atan.f64 (/.f64 v (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf H) (#s(alt #<batchref> (patch (atan.f64 (/.f64 v (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf H) (#s(alt #<batchref> (patch (atan.f64 (/.f64 v (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf H) (#s(alt #<batchref> (patch (atan.f64 (/.f64 v (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf H) (#s(alt #<batchref> (patch (/.f64 v (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf H) (#s(alt #<batchref> (patch (/.f64 v (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf H) (#s(alt #<batchref> (patch (/.f64 v (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf H) (#s(alt #<batchref> (patch (/.f64 v (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf H) (#s(alt #<batchref> (patch (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf H) (#s(alt #<batchref> (patch (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf H) (#s(alt #<batchref> (patch (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf H) (#s(alt #<batchref> (patch (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf H) (#s(alt #<batchref> (patch (.f64 (.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf H) (#s(alt #<batchref> (patch (.f64 (.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf H) (#s(alt #<batchref> (patch (.f64 (.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf H) (#s(alt #<batchref> (patch (.f64 (.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
4.0ms	H	@	-inf	((* 2 49/5) (- (* v v) (* (* 2 49/5) H)) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (sqrt (- (* v v) (* (* 2 49/5) H))) (* (* 2 49/5) H))
3.0ms	v	@	0	((* 2 49/5) (- (* v v) (* (* 2 49/5) H)) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (sqrt (- (* v v) (* (* 2 49/5) H))) (* (* 2 49/5) H))
3.0ms	H	@	inf	((* 2 49/5) (- (* v v) (* (* 2 49/5) H)) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (sqrt (- (* v v) (* (* 2 49/5) H))) (* (* 2 49/5) H))
2.0ms	v	@	inf	((* 2 49/5) (- (* v v) (* (* 2 49/5) H)) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (sqrt (- (* v v) (* (* 2 49/5) H))) (* (* 2 49/5) H))
1.0ms	v	@	-inf	((* 2 49/5) (- (* v v) (* (* 2 49/5) H)) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (sqrt (- (* v v) (* (* 2 49/5) H))) (* (* 2 49/5) H))

simplify160.0ms (2.1%)

Memory

0.1MiB live, 199.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	323	1843
1	933	1797
2	3156	1774
3	7233	1741
0	8250	1626

Stop Event

1×	iter limit
1×	node limit

Counts

108 → 106

Calls

Call 1

Inputs
(* -98/5 H)
(- (pow v 2) (* 98/5 H))
(- (pow v 2) (* 98/5 H))
(- (pow v 2) (* 98/5 H))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(* (sqrt (/ 1 H)) (* v (sqrt -5/98)))
(* v (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98))))
(* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3))))) (sqrt -5/98)))) (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98))))))))
(* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 25/19208 (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (* H (pow (sqrt -5/98) 2)))) (* 625/92236816 (/ 1 (pow H 4))))) (sqrt -5/98)))) (* -1/2 (* (sqrt H) (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (sqrt -5/98))))))))))
(* (sqrt H) (sqrt -98/5))
(+ (* 1/2 (* (sqrt (/ 1 H)) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt H) (sqrt -98/5)))
(+ (* (sqrt H) (sqrt -98/5)) (* (pow v 2) (+ (* -1/8 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (pow (sqrt -98/5) 3)))) (* 1/2 (* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5)))))))
(+ (* (sqrt H) (sqrt -98/5)) (* (pow v 2) (+ (* 1/2 (* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5)))) (* (pow v 2) (+ (* -1/8 (* (sqrt (/ 1 (pow H 3))) (/ 1 (pow (sqrt -98/5) 3)))) (* 1/16 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 2) (pow (sqrt -98/5) 5)))))))))
(pow v 2)
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
1
(+ 1 (* 49/5 (/ H (pow v 2))))
(+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2)))))
(+ 1 (+ (* -1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2))))))
v
(* v (+ 1 (* -49/5 (/ H (pow v 2)))))
(* v (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2))))))
(* v (+ 1 (+ (* -117649/250 (/ (pow H 3) (pow v 6))) (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))))
(pow v 2)
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
-1
(- (* -49/5 (/ H (pow v 2))) 1)
(- (+ (* -49/5 (/ H (pow v 2))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4)))) 1)
(- (+ (* -49/5 (/ H (pow v 2))) (+ (* 1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))))) 1)
(* -1 v)
(* -1 (* v (+ 1 (* -49/5 (/ H (pow v 2))))))
(* -1 (* v (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))))
(* -1 (* v (+ 1 (+ (* -117649/250 (/ (pow H 3) (pow v 6))) (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2))))))))
(pow v 2)
(+ (* -98/5 H) (pow v 2))
(+ (* -98/5 H) (pow v 2))
(+ (* -98/5 H) (pow v 2))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
1
(+ 1 (* 49/5 (/ H (pow v 2))))
(+ 1 (* H (+ (* 7203/50 (/ H (pow v 4))) (* 49/5 (/ 1 (pow v 2))))))
(+ 1 (* H (+ (* H (+ (* 117649/50 (/ H (pow v 6))) (* 7203/50 (/ 1 (pow v 4))))) (* 49/5 (/ 1 (pow v 2))))))
v
(+ v (* -49/5 (/ H v)))
(+ v (* H (- (* -2401/50 (/ H (pow v 3))) (* 49/5 (/ 1 v)))))
(+ v (* H (- (* H (- (* -117649/250 (/ H (pow v 5))) (* 2401/50 (/ 1 (pow v 3))))) (* 49/5 (/ 1 v)))))
(* 98/5 H)
(* 98/5 H)
(* 98/5 H)
(* 98/5 H)
(* -98/5 H)
(* H (- (/ (pow v 2) H) 98/5))
(* H (- (/ (pow v 2) H) 98/5))
(* H (- (/ (pow v 2) H) 98/5))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(* (sqrt (/ 1 H)) (* v (sqrt -5/98)))
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))))
(+ (* -1/2 (* (sqrt (/ 1 (pow H 7))) (/ (* v (+ (* 625/368947264 (/ (* H (pow v 4)) (pow (sqrt -5/98) 2))) (* 625/92236816 (pow v 6)))) (sqrt -5/98)))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))))
(* (sqrt H) (sqrt -98/5))
(* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5))))
(* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (pow (sqrt -98/5) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5)))))
(* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (pow (sqrt -98/5) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow H 7))) (/ (pow v 6) (pow (sqrt -98/5) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5))))))
(* 98/5 H)
(* 98/5 H)
(* 98/5 H)
(* 98/5 H)
(* -98/5 H)
(* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H)))))
(* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H)))))
(* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H)))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))
(+ (* -1 (/ (+ (* 125/1882384 (* (sqrt H) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* 1/2 (* (sqrt (/ 1 H)) (/ (* v (* (sqrt -1) (+ (* -625/368947264 (/ (* H (pow v 4)) (pow (sqrt 5/98) 2))) (* 625/92236816 (pow v 6))))) (sqrt 5/98))))) (pow H 3))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))
(* -1 (* (sqrt H) (* (sqrt -1) (sqrt 98/5))))
(* -1 (* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5))))))
(* -1 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5)))))))
(* -1 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow H 7))) (/ (* (pow v 6) (sqrt -1)) (pow (sqrt 98/5) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5))))))))
(* 98/5 H)
(* 98/5 H)
(* 98/5 H)
(* 98/5 H)

Outputs
(*.f64 #s(literal -98/5 binary64) H)
(fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))
(fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))
(fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))
(atan.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (.f64 v v)))) v))
(atan.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (.f64 v v)))) v))
(atan.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (.f64 v v)))) v))
(atan.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (.f64 v v)))) v))
(.f64 (.f64 (sqrt.f64 #s(literal -5/98 binary64)) v) (sqrt.f64 (/.f64 #s(literal 1 binary64) H)))
(.f64 (fma.f64 (.f64 (.f64 v v) #s(literal -25/19208 binary64)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (sqrt.f64 #s(literal -5/98 binary64))) (.f64 (sqrt.f64 #s(literal -5/98 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) H)))) v)
(fma.f64 (pow.f64 v #s(literal 3 binary64)) (fma.f64 (.f64 (sqrt.f64 H) #s(literal -1/2 binary64)) (.f64 (+.f64 (/.f64 #s(literal 125/941192 binary64) (pow.f64 H #s(literal 3 binary64))) (/.f64 #s(literal -125/3764768 binary64) (pow.f64 H #s(literal 3 binary64)))) (.f64 v (/.f64 v (sqrt.f64 #s(literal -5/98 binary64))))) (.f64 (/.f64 #s(literal -25/19208 binary64) (sqrt.f64 #s(literal -5/98 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))))) (.f64 (.f64 (sqrt.f64 #s(literal -5/98 binary64)) v) (sqrt.f64 (/.f64 #s(literal 1 binary64) H))))
(.f64 (fma.f64 (pow.f64 v #s(literal 4 binary64)) (.f64 (.f64 (sqrt.f64 H) #s(literal -1/2 binary64)) (fma.f64 (/.f64 (fma.f64 #s(literal -5/196 binary64) (/.f64 (+.f64 (/.f64 #s(literal 125/941192 binary64) (pow.f64 H #s(literal 3 binary64))) (/.f64 #s(literal -125/3764768 binary64) (pow.f64 H #s(literal 3 binary64)))) H) (/.f64 #s(literal 625/92236816 binary64) (pow.f64 H #s(literal 4 binary64)))) (sqrt.f64 #s(literal -5/98 binary64))) (.f64 v v) (/.f64 (+.f64 (/.f64 #s(literal 125/941192 binary64) (pow.f64 H #s(literal 3 binary64))) (/.f64 #s(literal -125/3764768 binary64) (pow.f64 H #s(literal 3 binary64)))) (sqrt.f64 #s(literal -5/98 binary64))))) (fma.f64 (.f64 (.f64 v v) #s(literal -25/19208 binary64)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (sqrt.f64 #s(literal -5/98 binary64))) (*.f64 (sqrt.f64 #s(literal -5/98 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) H))))) v)
(*.f64 (sqrt.f64 #s(literal -98/5 binary64)) (sqrt.f64 H))
(fma.f64 (.f64 (.f64 v v) #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -98/5 binary64))) (*.f64 (sqrt.f64 #s(literal -98/5 binary64)) (sqrt.f64 H)))
(fma.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -98/5 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (.f64 (.f64 (/.f64 #s(literal 5/784 binary64) (sqrt.f64 #s(literal -98/5 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64))))) (.f64 v v))) (.f64 v v) (*.f64 (sqrt.f64 #s(literal -98/5 binary64)) (sqrt.f64 H)))
(fma.f64 (pow.f64 v #s(literal 4 binary64)) (fma.f64 #s(literal 5/784 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (sqrt.f64 #s(literal -98/5 binary64))) (.f64 (/.f64 (.f64 #s(literal 1/16 binary64) (.f64 v v)) (pow.f64 (sqrt.f64 #s(literal -98/5 binary64)) #s(literal 5 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64)))))) (fma.f64 (.f64 (.f64 v v) #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -98/5 binary64))) (.f64 (sqrt.f64 #s(literal -98/5 binary64)) (sqrt.f64 H))))
(*.f64 v v)
(fma.f64 #s(literal 1 binary64) (.f64 #s(literal -98/5 binary64) H) (.f64 v v))
(fma.f64 #s(literal 1 binary64) (.f64 #s(literal -98/5 binary64) H) (.f64 v v))
(fma.f64 #s(literal 1 binary64) (.f64 #s(literal -98/5 binary64) H) (.f64 v v))
(atan.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (.f64 v v)))) v))
(atan.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (.f64 v v)))) v))
(atan.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (.f64 v v)))) v))
(atan.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (.f64 v v)))) v))
#s(literal 1 binary64)
(fma.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64))
(fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 H H)) (/.f64 #s(literal -7203/25 binary64) (pow.f64 v #s(literal 4 binary64))) (fma.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64)))
(fma.f64 #s(literal -1/2 binary64) (fma.f64 (.f64 H H) (/.f64 #s(literal -7203/25 binary64) (pow.f64 v #s(literal 4 binary64))) (/.f64 (fma.f64 (.f64 (pow.f64 H #s(literal 3 binary64)) #s(literal -7203/25 binary64)) #s(literal -49/5 binary64) (.f64 #s(literal -941192/125 binary64) (pow.f64 H #s(literal 3 binary64)))) (pow.f64 v #s(literal 6 binary64)))) (fma.f64 #s(literal 49/5 binary64) (/.f64 H (.f64 v v)) #s(literal 1 binary64)))
v
(fma.f64 (*.f64 (/.f64 #s(literal -49/5 binary64) v) H) #s(literal 1 binary64) v)
(fma.f64 (.f64 (.f64 #s(literal -2401/50 binary64) H) (/.f64 H (pow.f64 v #s(literal 4 binary64)))) v (fma.f64 (*.f64 (/.f64 #s(literal -49/5 binary64) v) H) #s(literal 1 binary64) v))
(.f64 (fma.f64 (pow.f64 H #s(literal 3 binary64)) (/.f64 #s(literal -117649/250 binary64) (pow.f64 v #s(literal 6 binary64))) (fma.f64 (.f64 #s(literal -2401/50 binary64) H) (/.f64 H (pow.f64 v #s(literal 4 binary64))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64)))) v)
(*.f64 v v)
(fma.f64 #s(literal 1 binary64) (.f64 #s(literal -98/5 binary64) H) (.f64 v v))
(fma.f64 #s(literal 1 binary64) (.f64 #s(literal -98/5 binary64) H) (.f64 v v))
(fma.f64 #s(literal 1 binary64) (.f64 #s(literal -98/5 binary64) H) (.f64 v v))
(atan.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (.f64 v v)))) v))
(atan.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (.f64 v v)))) v))
(atan.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (.f64 v v)))) v))
(atan.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (.f64 v v)))) v))
#s(literal -1 binary64)
(fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64))
(fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 H H)) (/.f64 #s(literal -7203/25 binary64) (pow.f64 v #s(literal 4 binary64))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64)))
(fma.f64 (fma.f64 (.f64 H H) (/.f64 #s(literal -7203/25 binary64) (pow.f64 v #s(literal 4 binary64))) (/.f64 (fma.f64 (.f64 (pow.f64 H #s(literal 3 binary64)) #s(literal -7203/25 binary64)) #s(literal -49/5 binary64) (.f64 #s(literal -941192/125 binary64) (pow.f64 H #s(literal 3 binary64)))) (pow.f64 v #s(literal 6 binary64)))) #s(literal 1/2 binary64) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (.f64 v v)) #s(literal -1 binary64)))
(neg.f64 v)
(neg.f64 (fma.f64 (*.f64 (/.f64 #s(literal -49/5 binary64) v) H) #s(literal 1 binary64) v))
(.f64 (fma.f64 #s(literal 2401/50 binary64) (.f64 (/.f64 H (pow.f64 v #s(literal 4 binary64))) H) (fma.f64 (/.f64 #s(literal 49/5 binary64) v) (/.f64 H v) #s(literal -1 binary64))) v)
(.f64 (fma.f64 #s(literal 117649/250 binary64) (/.f64 (pow.f64 H #s(literal 3 binary64)) (pow.f64 v #s(literal 6 binary64))) (fma.f64 #s(literal 2401/50 binary64) (.f64 (/.f64 H (pow.f64 v #s(literal 4 binary64))) H) (fma.f64 (/.f64 #s(literal 49/5 binary64) v) (/.f64 H v) #s(literal -1 binary64)))) v)
(*.f64 v v)
(fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))
(fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))
(fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))
(atan.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (.f64 v v)))) v))
(atan.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (.f64 v v)))) v))
(atan.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (.f64 v v)))) v))
(atan.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (.f64 v v)))) v))
#s(literal 1 binary64)
(fma.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64))
(fma.f64 (fma.f64 (/.f64 #s(literal 7203/50 binary64) (pow.f64 v #s(literal 4 binary64))) H (/.f64 #s(literal 49/5 binary64) (*.f64 v v))) H #s(literal 1 binary64))
(fma.f64 (fma.f64 (fma.f64 (/.f64 H (pow.f64 v #s(literal 6 binary64))) #s(literal 117649/50 binary64) (/.f64 #s(literal 7203/50 binary64) (pow.f64 v #s(literal 4 binary64)))) H (/.f64 #s(literal 49/5 binary64) (*.f64 v v))) H #s(literal 1 binary64))
v
(fma.f64 (/.f64 #s(literal -49/5 binary64) v) H v)
(fma.f64 (fma.f64 (/.f64 #s(literal -2401/50 binary64) (pow.f64 v #s(literal 3 binary64))) H (/.f64 #s(literal -49/5 binary64) v)) H v)
(fma.f64 (fma.f64 (fma.f64 (/.f64 H (pow.f64 v #s(literal 5 binary64))) #s(literal -117649/250 binary64) (/.f64 #s(literal -2401/50 binary64) (pow.f64 v #s(literal 3 binary64)))) H (/.f64 #s(literal -49/5 binary64) v)) H v)
(*.f64 #s(literal 98/5 binary64) H)
(*.f64 #s(literal 98/5 binary64) H)
(*.f64 #s(literal 98/5 binary64) H)
(*.f64 #s(literal 98/5 binary64) H)
(*.f64 #s(literal -98/5 binary64) H)
(fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))
(fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))
(fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))
(atan.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (.f64 v v)))) v))
(atan.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (.f64 v v)))) v))
(atan.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (.f64 v v)))) v))
(atan.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (.f64 v v)))) v))
(.f64 (.f64 (sqrt.f64 #s(literal -5/98 binary64)) v) (sqrt.f64 (/.f64 #s(literal 1 binary64) H)))
(.f64 (fma.f64 (.f64 (.f64 v v) #s(literal -25/19208 binary64)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (sqrt.f64 #s(literal -5/98 binary64))) (.f64 (sqrt.f64 #s(literal -5/98 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) H)))) v)
(fma.f64 (/.f64 (.f64 #s(literal -125/1882384 binary64) (pow.f64 v #s(literal 5 binary64))) (sqrt.f64 #s(literal -5/98 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64)))) (.f64 (fma.f64 (.f64 (.f64 v v) #s(literal -25/19208 binary64)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (sqrt.f64 #s(literal -5/98 binary64))) (*.f64 (sqrt.f64 #s(literal -5/98 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) H)))) v))
(fma.f64 (/.f64 (.f64 #s(literal -125/1882384 binary64) (pow.f64 v #s(literal 5 binary64))) (sqrt.f64 #s(literal -5/98 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64)))) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 7 binary64)))) #s(literal -1/2 binary64)) (.f64 (fma.f64 (.f64 (pow.f64 v #s(literal 4 binary64)) H) #s(literal -125/3764768 binary64) (.f64 (pow.f64 v #s(literal 6 binary64)) #s(literal 625/92236816 binary64))) (/.f64 v (sqrt.f64 #s(literal -5/98 binary64)))) (.f64 (fma.f64 (.f64 (.f64 v v) #s(literal -25/19208 binary64)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (sqrt.f64 #s(literal -5/98 binary64))) (*.f64 (sqrt.f64 #s(literal -5/98 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) H)))) v)))
(*.f64 (sqrt.f64 #s(literal -98/5 binary64)) (sqrt.f64 H))
(.f64 (fma.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 v v)) (sqrt.f64 #s(literal -98/5 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (.f64 (sqrt.f64 #s(literal -98/5 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) H)))) H)
(.f64 (fma.f64 #s(literal 5/784 binary64) (.f64 (pow.f64 v #s(literal 4 binary64)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64)))) (sqrt.f64 #s(literal -98/5 binary64)))) (fma.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 v v)) (sqrt.f64 #s(literal -98/5 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (*.f64 (sqrt.f64 #s(literal -98/5 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) H))))) H)
(.f64 (fma.f64 #s(literal 5/784 binary64) (.f64 (pow.f64 v #s(literal 4 binary64)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64)))) (sqrt.f64 #s(literal -98/5 binary64)))) (fma.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 v v)) (sqrt.f64 #s(literal -98/5 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 7 binary64)))) (pow.f64 v #s(literal 6 binary64))) (/.f64 #s(literal 1/16 binary64) (pow.f64 (sqrt.f64 #s(literal -98/5 binary64)) #s(literal 5 binary64))) (.f64 (sqrt.f64 #s(literal -98/5 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) H)))))) H)
(*.f64 #s(literal 98/5 binary64) H)
(*.f64 #s(literal 98/5 binary64) H)
(*.f64 #s(literal 98/5 binary64) H)
(*.f64 #s(literal 98/5 binary64) H)
(*.f64 #s(literal -98/5 binary64) H)
(fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))
(fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))
(fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))
(atan.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (.f64 v v)))) v))
(atan.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (.f64 v v)))) v))
(atan.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (.f64 v v)))) v))
(atan.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (.f64 v v)))) v))
(.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) v)) (sqrt.f64 #s(literal 5/98 binary64)))
(fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (.f64 (sqrt.f64 #s(literal -1 binary64)) v)) (sqrt.f64 #s(literal 5/98 binary64)) (.f64 (.f64 (*.f64 (pow.f64 v #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64))))) (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal -25/19208 binary64) (sqrt.f64 #s(literal 5/98 binary64)))))
(fma.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 5/98 binary64))) (fma.f64 (.f64 #s(literal -125/1882384 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64))))) (pow.f64 v #s(literal 5 binary64)) (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) #s(literal -25/19208 binary64)) (pow.f64 v #s(literal 3 binary64)))) (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (.f64 (sqrt.f64 #s(literal -1 binary64)) v)) (sqrt.f64 #s(literal 5/98 binary64))))
(fma.f64 (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) #s(literal -25/19208 binary64)) (pow.f64 v #s(literal 3 binary64))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 5/98 binary64))) (fma.f64 (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) v) (sqrt.f64 #s(literal 5/98 binary64))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (.f64 (sqrt.f64 #s(literal -1 binary64)) v)) (/.f64 (fma.f64 (.f64 (pow.f64 v #s(literal 4 binary64)) H) #s(literal -125/3764768 binary64) (.f64 (pow.f64 v #s(literal 6 binary64)) #s(literal 625/92236816 binary64))) (sqrt.f64 #s(literal 5/98 binary64)))) (.f64 #s(literal -125/1882384 binary64) (.f64 (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 5 binary64))) (sqrt.f64 #s(literal 5/98 binary64))) (sqrt.f64 H)))) (pow.f64 H #s(literal 3 binary64)))))
(.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (.f64 (sqrt.f64 #s(literal 98/5 binary64)) (sqrt.f64 H)))
(.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (sqrt.f64 #s(literal -1 binary64))) (.f64 v (/.f64 v (sqrt.f64 #s(literal 98/5 binary64))))) (.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (.f64 (sqrt.f64 #s(literal 98/5 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) H))))) H)
(.f64 (fma.f64 #s(literal 5/784 binary64) (/.f64 (.f64 (.f64 (pow.f64 v #s(literal 4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64))))) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 98/5 binary64))) (fma.f64 #s(literal -1/2 binary64) (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (sqrt.f64 #s(literal -1 binary64))) (.f64 v (/.f64 v (sqrt.f64 #s(literal 98/5 binary64))))) (.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (.f64 (sqrt.f64 #s(literal 98/5 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) H)))))) H)
(.f64 (fma.f64 #s(literal -1/16 binary64) (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 7 binary64)))) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (pow.f64 v #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal 98/5 binary64)) #s(literal 5 binary64)))) (fma.f64 #s(literal 5/784 binary64) (/.f64 (.f64 (.f64 (pow.f64 v #s(literal 4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64))))) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 98/5 binary64))) (fma.f64 #s(literal -1/2 binary64) (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (sqrt.f64 #s(literal -1 binary64))) (.f64 v (/.f64 v (sqrt.f64 #s(literal 98/5 binary64))))) (.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (.f64 (sqrt.f64 #s(literal 98/5 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) H))))))) H)
(*.f64 #s(literal 98/5 binary64) H)
(*.f64 #s(literal 98/5 binary64) H)
(*.f64 #s(literal 98/5 binary64) H)
(*.f64 #s(literal 98/5 binary64) H)

rewrite190.0ms (2.5%)

Memory

24.6MiB live, 262.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	40
0	19	40
1	50	40
2	275	40
3	2260	40
0	8978	36

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

6 → 333

Calls

Call 1

Inputs
(*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64))
(-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))
(atan.f64 (/.f64 v (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))))
(/.f64 v (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))
(sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))
(.f64 (.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)

Outputs
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eval69.0ms (0.9%)

Memory: -3.7MiB live, 117.4MiB allocated
Compiler: Compiled 13 971 to 2 040 computations (85.4% saved)

prune20.0ms (0.3%)

Memory

14.5MiB live, 53.0MiB allocated

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	424	15	439
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	425	15	440

Accuracy

99.6%

Counts

440 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	32.9%	(atan.f64 (pow.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) v) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
	63.7%	(atan.f64 (/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (.f64 v v)))) v)) (.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (.f64 v v)))) #s(literal 1 binary64))) (.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (.f64 v v)))) (/.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v))))
	68.1%	(atan.f64 (/.f64 (-.f64 (.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (.f64 v v)))) (.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (.f64 v v)))) (neg.f64 v))) (.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (.f64 v v)))) (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))))))
▶	68.1%	(atan.f64 (/.f64 (-.f64 (.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (.f64 v v))))) (.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (.f64 v v)))) v)) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))))
	71.8%	(atan.f64 (/.f64 v (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))))))
	70.9%	(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 (.f64 v v) (/.f64 (.f64 v v) (fma.f64 H #s(literal 98/5 binary64) (.f64 v v))) (neg.f64 (.f64 (.f64 #s(literal 9604/25 binary64) H) (/.f64 H (fma.f64 H #s(literal 98/5 binary64) (.f64 v v)))))))))
▶	71.8%	(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)))))
	42.3%	(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))))
	35.2%	(atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 (/.f64 #s(literal -49/5 binary64) v) H v))))
	71.6%	(atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) v)))
▶	30.7%	(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64))))
	35.6%	(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64))))
	30.3%	(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64)))
▶	35.6%	(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64)))
▶	71.8%	#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (.f64 v v)))) v)))

Compiler

Compiled 660 to 418 computations (36.7% saved)

simplify83.0ms (1.1%)

Memory

-6.4MiB live, 31.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (.f64 v v))))) (.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (.f64 v v)))) v)) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))
cost-diff	0	(atan.f64 (/.f64 (-.f64 (.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (.f64 v v))))) (.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (.f64 v v)))) v)) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))))
cost-diff	320	(-.f64 (.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (.f64 v v))))) (.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (.f64 v v)))) v))
cost-diff	1792	(.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (.f64 v v)))))
cost-diff	0	(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))))
cost-diff	0	(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (.f64 v v)))) v)
cost-diff	0	(atan.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (.f64 v v)))) v))
cost-diff	0	#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (.f64 v v)))) v)))
cost-diff	0	(/.f64 H (*.f64 v v))
cost-diff	0	(fma.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64))
cost-diff	0	#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64)))
cost-diff	0	(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64))))
cost-diff	0	#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64))
cost-diff	0	(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64)))
cost-diff	0	(fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))
cost-diff	0	(sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)))
cost-diff	0	(/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))))
cost-diff	0	(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)))))

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	41	326
0	64	282
1	101	276
2	151	276
3	272	276
4	410	276
5	825	276
6	1640	276
7	2257	276
8	2728	276
9	2823	276
10	2868	276
11	2891	276
12	2945	276
13	2945	276
14	2947	276
0	2947	276

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)))))
(/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))))
v
(sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)))
(fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))
(*.f64 #s(literal -98/5 binary64) H)
#s(literal -98/5 binary64)
H
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64)))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64))
#s(literal -1 binary64)
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64)))
(fma.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64))
#s(literal 49/5 binary64)
(/.f64 H (*.f64 v v))
H
(*.f64 v v)
v
#s(literal 1 binary64)
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (.f64 v v)))) v)))
(atan.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (.f64 v v)))) v))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (.f64 v v)))) v)
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))))
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))
#s(literal 1 binary64)
(fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))
#s(literal -98/5 binary64)
H
(*.f64 v v)
v
(atan.f64 (/.f64 (-.f64 (.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (.f64 v v))))) (.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (.f64 v v)))) v)) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (.f64 v v))))) (.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (.f64 v v)))) v)) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))
(-.f64 (.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (.f64 v v))))) (.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (.f64 v v)))) v))
(.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (.f64 v v)))))
#s(literal 0 binary64)
(neg.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))))
(sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))
(fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))
#s(literal -98/5 binary64)
H
(*.f64 v v)
v
(.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (.f64 v v)))) v)

Outputs
(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v)))))
(/.f64 v (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v))))
v
(sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v)))
(fma.f64 H #s(literal -98/5 binary64) (*.f64 v v))
(*.f64 H #s(literal -98/5 binary64))
#s(literal -98/5 binary64)
H
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64)))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64))
#s(literal -1 binary64)
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64)))
(fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64))
#s(literal 49/5 binary64)
(/.f64 H (*.f64 v v))
H
(*.f64 v v)
v
#s(literal 1 binary64)
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 H #s(literal -98/5 binary64) (.f64 v v)))) v)))
(atan.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 H #s(literal -98/5 binary64) (.f64 v v)))) v))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 H #s(literal -98/5 binary64) (.f64 v v)))) v)
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v))))
(/.f64 #s(literal 1 binary64) (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v)))
#s(literal 1 binary64)
(fma.f64 H #s(literal -98/5 binary64) (*.f64 v v))
#s(literal -98/5 binary64)
H
(*.f64 v v)
v
(atan.f64 (.f64 (/.f64 v (fma.f64 H #s(literal -98/5 binary64) (.f64 v v))) (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v)))))
(.f64 (/.f64 v (fma.f64 H #s(literal -98/5 binary64) (.f64 v v))) (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v))))
(.f64 (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (.f64 v v))) v)
#s(literal 0 binary64)
#s(literal 0 binary64)
(neg.f64 (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v))))
(sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v)))
(fma.f64 H #s(literal -98/5 binary64) (*.f64 v v))
#s(literal -98/5 binary64)
H
(*.f64 v v)
v
(.f64 (neg.f64 v) (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (.f64 v v))))

localize127.0ms (1.6%)

Memory

-41.9MiB live, 199.0MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.08984375	(.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (.f64 v v)))) v)
accuracy	0.21322250976844204	(fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))
accuracy	16.887833999892653	(sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))
accuracy	19.532117386726025	(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (.f64 v v))))) (.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (.f64 v v)))) v)) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))
accuracy	0.21322250976844204	(fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))
accuracy	0.24609375	(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (.f64 v v)))) v)
accuracy	0.703263463449525	(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))
accuracy	16.229074168422592	(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))))
accuracy	0.00390625	(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64))))
accuracy	0.11328125	(fma.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64))
accuracy	6.007229756897189	(/.f64 H (*.f64 v v))
accuracy	43.539264791438725	#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64)))
accuracy	0.00390625	(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64)))
accuracy	40.72591344987838	#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64))
accuracy	0.0078125	(fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))
accuracy	0.08203125	(/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))))
accuracy	0.515625	(*.f64 #s(literal -98/5 binary64) H)
accuracy	16.887833999892653	(sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)))

Samples

84.0ms	251×	0	valid
8.0ms	5×	5	exit

Compiler

Compiled 662 to 78 computations (88.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 71.0ms

ival-atan: 26.0ms (36.6% of total)

ival-mult: 12.0ms (16.9% of total)

const: 8.0ms (11.3% of total)

ival-div: 8.0ms (11.3% of total)

ival-sqrt: 7.0ms (9.9% of total)

ival-add: 4.0ms (5.6% of total)

ival-sub: 3.0ms (4.2% of total)

adjust: 1.0ms (1.4% of total)

exact: 1.0ms (1.4% of total)

ival-neg: 1.0ms (1.4% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

series48.0ms (0.6%)

Memory

4.7MiB live, 86.3MiB allocated

Counts

23 → 540

Calls

Call 1

Inputs
#s(alt #<batchref> (patch (atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 H (*.f64 v v)) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (.f64 v v)))) v))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (atan.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (.f64 v v)))) v)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (.f64 v v)))) v) #<representation binary64>) () ())
#s(alt #<batchref> (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (.f64 v v))))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (-.f64 (.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (.f64 v v))))) (.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (.f64 v v)))) v)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (atan.f64 (/.f64 (-.f64 (.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (.f64 v v))))) (.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (.f64 v v)))) v)) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (-.f64 (.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (.f64 v v))))) (.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (.f64 v v)))) v)) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 #s(literal -98/5 binary64) H) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (.f64 v v)))) v) #<representation binary64>) () ())

Outputs
#s(alt #<batchref> (taylor 0 v) (#s(alt #<batchref> (patch (atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 v) (#s(alt #<batchref> (patch (atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 v) (#s(alt #<batchref> (patch (atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 v) (#s(alt #<batchref> (patch (atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 v) (#s(alt #<batchref> (patch (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 v) (#s(alt #<batchref> (patch (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 v) (#s(alt #<batchref> (patch (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 v) (#s(alt #<batchref> (patch (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 v) (#s(alt #<batchref> (patch (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 v) (#s(alt #<batchref> (patch (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 v) (#s(alt #<batchref> (patch (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 v) (#s(alt #<batchref> (patch (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 v) (#s(alt #<batchref> (patch (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 v) (#s(alt #<batchref> (patch (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 v) (#s(alt #<batchref> (patch (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 v) (#s(alt #<batchref> (patch (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 v) (#s(alt #<batchref> (patch (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 v) (#s(alt #<batchref> (patch (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 v) (#s(alt #<batchref> (patch (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 v) (#s(alt #<batchref> (patch (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 v) (#s(alt #<batchref> (patch #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 v) (#s(alt #<batchref> (patch #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 v) (#s(alt #<batchref> (patch #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 v) (#s(alt #<batchref> (patch #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 v) (#s(alt #<batchref> (patch (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 v) (#s(alt #<batchref> (patch (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 v) (#s(alt #<batchref> (patch (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 v) (#s(alt #<batchref> (patch (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 v) (#s(alt #<batchref> (patch #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 v) (#s(alt #<batchref> (patch #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 v) (#s(alt #<batchref> (patch #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 v) (#s(alt #<batchref> (patch #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 v) (#s(alt #<batchref> (patch (fma.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 v) (#s(alt #<batchref> (patch (fma.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 v) (#s(alt #<batchref> (patch (fma.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 v) (#s(alt #<batchref> (patch (fma.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 v) (#s(alt #<batchref> (patch (/.f64 H (*.f64 v v)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 v) (#s(alt #<batchref> (patch (/.f64 H (*.f64 v v)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 v) (#s(alt #<batchref> (patch (/.f64 H (*.f64 v v)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 v) (#s(alt #<batchref> (patch (/.f64 H (*.f64 v v)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 v) (#s(alt #<batchref> (patch #s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (.f64 v v)))) v))) #<representation binary64>) () ())) ())
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#s(alt #<batchref> (taylor -inf H) (#s(alt #<batchref> (patch (atan.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (.f64 v v)))) v)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf H) (#s(alt #<batchref> (patch (atan.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (.f64 v v)))) v)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf H) (#s(alt #<batchref> (patch (atan.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (.f64 v v)))) v)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf H) (#s(alt #<batchref> (patch (atan.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (.f64 v v)))) v)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf H) (#s(alt #<batchref> (patch (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (.f64 v v)))) v) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf H) (#s(alt #<batchref> (patch (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (.f64 v v)))) v) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf H) (#s(alt #<batchref> (patch (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (.f64 v v)))) v) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf H) (#s(alt #<batchref> (patch (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (.f64 v v)))) v) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf H) (#s(alt #<batchref> (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf H) (#s(alt #<batchref> (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf H) (#s(alt #<batchref> (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf H) (#s(alt #<batchref> (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf H) (#s(alt #<batchref> (patch (.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (.f64 v v))))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf H) (#s(alt #<batchref> (patch (.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (.f64 v v))))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf H) (#s(alt #<batchref> (patch (.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (.f64 v v))))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf H) (#s(alt #<batchref> (patch (.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (.f64 v v))))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf H) (#s(alt #<batchref> (patch (-.f64 (.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (.f64 v v))))) (.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (.f64 v v)))) v)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf H) (#s(alt #<batchref> (patch (-.f64 (.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (.f64 v v))))) (.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (.f64 v v)))) v)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf H) (#s(alt #<batchref> (patch (-.f64 (.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (.f64 v v))))) (.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (.f64 v v)))) v)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf H) (#s(alt #<batchref> (patch (-.f64 (.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (.f64 v v))))) (.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (.f64 v v)))) v)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf H) (#s(alt #<batchref> (patch (atan.f64 (/.f64 (-.f64 (.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (.f64 v v))))) (.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (.f64 v v)))) v)) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf H) (#s(alt #<batchref> (patch (atan.f64 (/.f64 (-.f64 (.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (.f64 v v))))) (.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (.f64 v v)))) v)) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf H) (#s(alt #<batchref> (patch (atan.f64 (/.f64 (-.f64 (.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (.f64 v v))))) (.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (.f64 v v)))) v)) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf H) (#s(alt #<batchref> (patch (atan.f64 (/.f64 (-.f64 (.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (.f64 v v))))) (.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (.f64 v v)))) v)) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf H) (#s(alt #<batchref> (patch (/.f64 (-.f64 (.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (.f64 v v))))) (.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (.f64 v v)))) v)) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf H) (#s(alt #<batchref> (patch (/.f64 (-.f64 (.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (.f64 v v))))) (.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (.f64 v v)))) v)) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf H) (#s(alt #<batchref> (patch (/.f64 (-.f64 (.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (.f64 v v))))) (.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (.f64 v v)))) v)) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf H) (#s(alt #<batchref> (patch (/.f64 (-.f64 (.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (.f64 v v))))) (.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (.f64 v v)))) v)) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf H) (#s(alt #<batchref> (patch (*.f64 #s(literal -98/5 binary64) H) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf H) (#s(alt #<batchref> (patch (*.f64 #s(literal -98/5 binary64) H) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf H) (#s(alt #<batchref> (patch (*.f64 #s(literal -98/5 binary64) H) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf H) (#s(alt #<batchref> (patch (*.f64 #s(literal -98/5 binary64) H) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf H) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf H) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf H) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf H) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf H) (#s(alt #<batchref> (patch (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf H) (#s(alt #<batchref> (patch (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf H) (#s(alt #<batchref> (patch (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf H) (#s(alt #<batchref> (patch (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf H) (#s(alt #<batchref> (patch (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf H) (#s(alt #<batchref> (patch (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf H) (#s(alt #<batchref> (patch (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf H) (#s(alt #<batchref> (patch (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf H) (#s(alt #<batchref> (patch (.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (.f64 v v)))) v) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf H) (#s(alt #<batchref> (patch (.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (.f64 v v)))) v) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf H) (#s(alt #<batchref> (patch (.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (.f64 v v)))) v) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf H) (#s(alt #<batchref> (patch (.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (.f64 v v)))) v) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
6.0ms	H	@	inf	((atan (/ v (sqrt (+ (* v v) (* -98/5 H))))) (/ v (sqrt (+ (* v v) (* -98/5 H)))) (sqrt (+ (* v v) (* -98/5 H))) (+ (* v v) (* -98/5 H)) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (+ (* 49/5 (/ H (* v v))) 1) (/ H (* v v)) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v)) (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) (* 0 (neg (sqrt (+ (* -98/5 H) (* v v))))) (- (* 0 (neg (sqrt (+ (* -98/5 H) (* v v))))) (* (neg (sqrt (+ (* -98/5 H) (* v v)))) v)) (atan (/ (- (* 0 (neg (sqrt (+ (* -98/5 H) (* v v))))) (* (neg (sqrt (+ (* -98/5 H) (* v v)))) v)) (+ (* -98/5 H) (* v v)))) (/ (- (* 0 (neg (sqrt (+ (* -98/5 H) (* v v))))) (* (neg (sqrt (+ (* -98/5 H) (* v v)))) v)) (+ (* -98/5 H) (* v v))) (* -98/5 H) (/ 1 (+ (* -98/5 H) (* v v))) (+ (* -98/5 H) (* v v)) (sqrt (+ (* -98/5 H) (* v v))) (* (neg (sqrt (+ (* -98/5 H) (* v v)))) v))
5.0ms	v	@	-inf	((atan (/ v (sqrt (+ (* v v) (* -98/5 H))))) (/ v (sqrt (+ (* v v) (* -98/5 H)))) (sqrt (+ (* v v) (* -98/5 H))) (+ (* v v) (* -98/5 H)) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (+ (* 49/5 (/ H (* v v))) 1) (/ H (* v v)) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v)) (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) (* 0 (neg (sqrt (+ (* -98/5 H) (* v v))))) (- (* 0 (neg (sqrt (+ (* -98/5 H) (* v v))))) (* (neg (sqrt (+ (* -98/5 H) (* v v)))) v)) (atan (/ (- (* 0 (neg (sqrt (+ (* -98/5 H) (* v v))))) (* (neg (sqrt (+ (* -98/5 H) (* v v)))) v)) (+ (* -98/5 H) (* v v)))) (/ (- (* 0 (neg (sqrt (+ (* -98/5 H) (* v v))))) (* (neg (sqrt (+ (* -98/5 H) (* v v)))) v)) (+ (* -98/5 H) (* v v))) (* -98/5 H) (/ 1 (+ (* -98/5 H) (* v v))) (+ (* -98/5 H) (* v v)) (sqrt (+ (* -98/5 H) (* v v))) (* (neg (sqrt (+ (* -98/5 H) (* v v)))) v))
4.0ms	H	@	-inf	((atan (/ v (sqrt (+ (* v v) (* -98/5 H))))) (/ v (sqrt (+ (* v v) (* -98/5 H)))) (sqrt (+ (* v v) (* -98/5 H))) (+ (* v v) (* -98/5 H)) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (+ (* 49/5 (/ H (* v v))) 1) (/ H (* v v)) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v)) (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) (* 0 (neg (sqrt (+ (* -98/5 H) (* v v))))) (- (* 0 (neg (sqrt (+ (* -98/5 H) (* v v))))) (* (neg (sqrt (+ (* -98/5 H) (* v v)))) v)) (atan (/ (- (* 0 (neg (sqrt (+ (* -98/5 H) (* v v))))) (* (neg (sqrt (+ (* -98/5 H) (* v v)))) v)) (+ (* -98/5 H) (* v v)))) (/ (- (* 0 (neg (sqrt (+ (* -98/5 H) (* v v))))) (* (neg (sqrt (+ (* -98/5 H) (* v v)))) v)) (+ (* -98/5 H) (* v v))) (* -98/5 H) (/ 1 (+ (* -98/5 H) (* v v))) (+ (* -98/5 H) (* v v)) (sqrt (+ (* -98/5 H) (* v v))) (* (neg (sqrt (+ (* -98/5 H) (* v v)))) v))
3.0ms	v	@	0	((atan (/ v (sqrt (+ (* v v) (* -98/5 H))))) (/ v (sqrt (+ (* v v) (* -98/5 H)))) (sqrt (+ (* v v) (* -98/5 H))) (+ (* v v) (* -98/5 H)) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (+ (* 49/5 (/ H (* v v))) 1) (/ H (* v v)) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v)) (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) (* 0 (neg (sqrt (+ (* -98/5 H) (* v v))))) (- (* 0 (neg (sqrt (+ (* -98/5 H) (* v v))))) (* (neg (sqrt (+ (* -98/5 H) (* v v)))) v)) (atan (/ (- (* 0 (neg (sqrt (+ (* -98/5 H) (* v v))))) (* (neg (sqrt (+ (* -98/5 H) (* v v)))) v)) (+ (* -98/5 H) (* v v)))) (/ (- (* 0 (neg (sqrt (+ (* -98/5 H) (* v v))))) (* (neg (sqrt (+ (* -98/5 H) (* v v)))) v)) (+ (* -98/5 H) (* v v))) (* -98/5 H) (/ 1 (+ (* -98/5 H) (* v v))) (+ (* -98/5 H) (* v v)) (sqrt (+ (* -98/5 H) (* v v))) (* (neg (sqrt (+ (* -98/5 H) (* v v)))) v))
3.0ms	H	@	0	((atan (/ v (sqrt (+ (* v v) (* -98/5 H))))) (/ v (sqrt (+ (* v v) (* -98/5 H)))) (sqrt (+ (* v v) (* -98/5 H))) (+ (* v v) (* -98/5 H)) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (+ (* 49/5 (/ H (* v v))) 1) (/ H (* v v)) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v)) (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) (* 0 (neg (sqrt (+ (* -98/5 H) (* v v))))) (- (* 0 (neg (sqrt (+ (* -98/5 H) (* v v))))) (* (neg (sqrt (+ (* -98/5 H) (* v v)))) v)) (atan (/ (- (* 0 (neg (sqrt (+ (* -98/5 H) (* v v))))) (* (neg (sqrt (+ (* -98/5 H) (* v v)))) v)) (+ (* -98/5 H) (* v v)))) (/ (- (* 0 (neg (sqrt (+ (* -98/5 H) (* v v))))) (* (neg (sqrt (+ (* -98/5 H) (* v v)))) v)) (+ (* -98/5 H) (* v v))) (* -98/5 H) (/ 1 (+ (* -98/5 H) (* v v))) (+ (* -98/5 H) (* v v)) (sqrt (+ (* -98/5 H) (* v v))) (* (neg (sqrt (+ (* -98/5 H) (* v v)))) v))

simplify205.0ms (2.7%)

Memory

-9.6MiB live, 269.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	631	9853
1	1906	9548
2	6403	9492
0	8161	8907

Stop Event

1×	iter limit
1×	node limit

Counts

540 → 536

Calls

Call 1

Inputs
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(* (sqrt (/ 1 H)) (* v (sqrt -5/98)))
(* v (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98))))
(* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3))))) (sqrt -5/98)))) (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98))))))))
(* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 25/19208 (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (* H (pow (sqrt -5/98) 2)))) (* 625/92236816 (/ 1 (pow H 4))))) (sqrt -5/98)))) (* -1/2 (* (sqrt H) (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (sqrt -5/98))))))))))
(* (sqrt H) (sqrt -98/5))
(+ (* 1/2 (* (sqrt (/ 1 H)) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt H) (sqrt -98/5)))
(+ (* (sqrt H) (sqrt -98/5)) (* (pow v 2) (+ (* -1/8 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (pow (sqrt -98/5) 3)))) (* 1/2 (* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5)))))))
(+ (* (sqrt H) (sqrt -98/5)) (* (pow v 2) (+ (* 1/2 (* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5)))) (* (pow v 2) (+ (* -1/8 (* (sqrt (/ 1 (pow H 3))) (/ 1 (pow (sqrt -98/5) 3)))) (* 1/16 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 2) (pow (sqrt -98/5) 5)))))))))
(* -98/5 H)
(+ (* -98/5 H) (pow v 2))
(+ (* -98/5 H) (pow v 2))
(+ (* -98/5 H) (pow v 2))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
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(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))
(+ (* -1 (/ (+ (* 125/1882384 (* (sqrt H) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* 1/2 (* (sqrt (/ 1 H)) (/ (* v (* (sqrt -1) (+ (* -625/368947264 (/ (* H (pow v 4)) (pow (sqrt 5/98) 2))) (* 625/92236816 (pow v 6))))) (sqrt 5/98))))) (pow H 3))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))
(* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98)))
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98))))
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98)))))
(+ (* -1 (/ (+ (* 125/1882384 (* (sqrt H) (/ (* (pow v 4) (sqrt -1)) (sqrt 5/98)))) (* 1/2 (* (sqrt (/ 1 H)) (/ (* (sqrt -1) (+ (* -625/368947264 (/ (* H (pow v 4)) (pow (sqrt 5/98) 2))) (* 625/92236816 (pow v 6)))) (sqrt 5/98))))) (pow H 3))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98)))))
0
0
0
0
(* -1 (* (sqrt H) (* v (* (sqrt -1) (sqrt 98/5)))))
(* -1 (* H (- (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 98/5)))) (* -1 (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 98/5))))))))
(* -1 (* H (- (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 5) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* -1 (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 98/5))))) (* -1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 98/5))))))))
(* -1 (* H (- (* 1/16 (* (sqrt (/ 1 (pow H 7))) (/ (* (pow v 7) (sqrt -1)) (pow (sqrt 98/5) 5)))) (+ (* -1 (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 98/5))))) (+ (* -1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 98/5)))) (* 1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 5) (sqrt -1)) (pow (sqrt 98/5) 3)))))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))
(+ (* -1 (/ (+ (* 125/1882384 (* (sqrt H) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* 1/2 (* (sqrt (/ 1 H)) (/ (* v (* (sqrt -1) (+ (* -625/368947264 (/ (* H (pow v 4)) (pow (sqrt 5/98) 2))) (* 625/92236816 (pow v 6))))) (sqrt 5/98))))) (pow H 3))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))
(* -98/5 H)
(* -98/5 H)
(* -98/5 H)
(* -98/5 H)
(/ -5/98 H)
(* -1 (/ (+ 5/98 (* 25/9604 (/ (pow v 2) H))) H))
(* -1 (/ (+ 5/98 (* -1 (/ (- (* -125/941192 (/ (pow v 4) H)) (* 25/9604 (pow v 2))) H))) H))
(* -1 (/ (+ 5/98 (* -1 (/ (- (* -1 (/ (- (* 625/92236816 (/ (pow v 6) H)) (* -125/941192 (pow v 4))) H)) (* 25/9604 (pow v 2))) H))) H))
(* -98/5 H)
(* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H)))))
(* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H)))))
(* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H)))))
(* -1 (* (sqrt H) (* (sqrt -1) (sqrt 98/5))))
(* -1 (* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5))))))
(* -1 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5)))))))
(* -1 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow H 7))) (/ (* (pow v 6) (sqrt -1)) (pow (sqrt 98/5) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5))))))))
(* (sqrt H) (* v (* (sqrt -1) (sqrt 98/5))))
(* -1 (* H (+ (* -1 (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 98/5))))) (* -1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 98/5)))))))
(* -1 (* H (+ (* -1 (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 98/5))))) (+ (* -1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 98/5)))) (* 1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 5) (sqrt -1)) (pow (sqrt 98/5) 3))))))))
(* -1 (* H (+ (* -1 (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 98/5))))) (+ (* -1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 98/5)))) (+ (* -1/16 (* (sqrt (/ 1 (pow H 7))) (/ (* (pow v 7) (sqrt -1)) (pow (sqrt 98/5) 5)))) (* 1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 5) (sqrt -1)) (pow (sqrt 98/5) 3)))))))))

Outputs
(atan.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (.f64 v v)))) v))
(atan.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (.f64 v v)))) v))
(atan.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (.f64 v v)))) v))
(atan.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (.f64 v v)))) v))
(.f64 (.f64 (sqrt.f64 #s(literal -5/98 binary64)) v) (sqrt.f64 (/.f64 #s(literal 1 binary64) H)))
(.f64 (fma.f64 (.f64 (.f64 v (/.f64 v (sqrt.f64 #s(literal -5/98 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64))))) #s(literal -25/19208 binary64) (.f64 (sqrt.f64 #s(literal -5/98 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) H)))) v)
(.f64 (fma.f64 (fma.f64 (.f64 (.f64 (sqrt.f64 H) #s(literal -1/2 binary64)) (.f64 v v)) (/.f64 (+.f64 (/.f64 #s(literal 125/941192 binary64) (pow.f64 H #s(literal 3 binary64))) (/.f64 #s(literal -125/3764768 binary64) (pow.f64 H #s(literal 3 binary64)))) (sqrt.f64 #s(literal -5/98 binary64))) (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (sqrt.f64 #s(literal -5/98 binary64))) #s(literal -25/19208 binary64))) (.f64 v v) (*.f64 (sqrt.f64 #s(literal -5/98 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) H)))) v)
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(*.f64 (sqrt.f64 #s(literal -98/5 binary64)) (sqrt.f64 H))
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(*.f64 #s(literal -98/5 binary64) H)
(fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))
(fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))
(fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))
(atan.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (.f64 v v)))) v))
(atan.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (.f64 v v)))) v))
(atan.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (.f64 v v)))) v))
(atan.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (.f64 v v)))) v))
(.f64 (.f64 (sqrt.f64 #s(literal -5/98 binary64)) v) (sqrt.f64 (/.f64 #s(literal 1 binary64) H)))
(.f64 (fma.f64 (.f64 (.f64 v (/.f64 v (sqrt.f64 #s(literal -5/98 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64))))) #s(literal -25/19208 binary64) (.f64 (sqrt.f64 #s(literal -5/98 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) H)))) v)
(.f64 (fma.f64 (fma.f64 (.f64 (.f64 (sqrt.f64 H) #s(literal -1/2 binary64)) (.f64 v v)) (/.f64 (+.f64 (/.f64 #s(literal 125/941192 binary64) (pow.f64 H #s(literal 3 binary64))) (/.f64 #s(literal -125/3764768 binary64) (pow.f64 H #s(literal 3 binary64)))) (sqrt.f64 #s(literal -5/98 binary64))) (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (sqrt.f64 #s(literal -5/98 binary64))) #s(literal -25/19208 binary64))) (.f64 v v) (*.f64 (sqrt.f64 #s(literal -5/98 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) H)))) v)
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(atan.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (.f64 v v)))) v))
(atan.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (.f64 v v)))) v))
(atan.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (.f64 v v)))) v))
(atan.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (.f64 v v)))) v))
(.f64 (.f64 (sqrt.f64 #s(literal -5/98 binary64)) v) (sqrt.f64 (/.f64 #s(literal 1 binary64) H)))
(.f64 (fma.f64 (.f64 (.f64 v (/.f64 v (sqrt.f64 #s(literal -5/98 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64))))) #s(literal -25/19208 binary64) (.f64 (sqrt.f64 #s(literal -5/98 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) H)))) v)
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(.f64 (fma.f64 (fma.f64 (.f64 (.f64 (sqrt.f64 H) #s(literal -1/2 binary64)) (fma.f64 (/.f64 (fma.f64 #s(literal -5/196 binary64) (/.f64 (+.f64 (/.f64 #s(literal 125/941192 binary64) (pow.f64 H #s(literal 3 binary64))) (/.f64 #s(literal -125/3764768 binary64) (pow.f64 H #s(literal 3 binary64)))) H) (/.f64 #s(literal 625/92236816 binary64) (pow.f64 H #s(literal 4 binary64)))) (sqrt.f64 #s(literal -5/98 binary64))) (.f64 v v) (/.f64 (+.f64 (/.f64 #s(literal 125/941192 binary64) (pow.f64 H #s(literal 3 binary64))) (/.f64 #s(literal -125/3764768 binary64) (pow.f64 H #s(literal 3 binary64)))) (sqrt.f64 #s(literal -5/98 binary64))))) (.f64 v v) (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (sqrt.f64 #s(literal -5/98 binary64))) #s(literal -25/19208 binary64))) (.f64 v v) (.f64 (sqrt.f64 #s(literal -5/98 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) H)))) v)
(.f64 (/.f64 H (.f64 v v)) #s(literal 49/5 binary64))
(/.f64 (/.f64 (fma.f64 #s(literal 49/5 binary64) H (*.f64 v v)) v) v)
(/.f64 (/.f64 (fma.f64 #s(literal 49/5 binary64) H (*.f64 v v)) v) v)
(/.f64 (/.f64 (fma.f64 #s(literal 49/5 binary64) H (*.f64 v v)) v) v)
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(/.f64 H (*.f64 v v))
(/.f64 H (*.f64 v v))
(atan.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (.f64 v v)))) v))
(atan.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (.f64 v v)))) v))
(atan.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (.f64 v v)))) v))
(atan.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (.f64 v v)))) v))
(atan.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (.f64 v v)))) v))
(atan.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (.f64 v v)))) v))
(atan.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (.f64 v v)))) v))
(atan.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (.f64 v v)))) v))
(.f64 (.f64 (sqrt.f64 #s(literal -5/98 binary64)) v) (sqrt.f64 (/.f64 #s(literal 1 binary64) H)))
(.f64 (fma.f64 (.f64 (.f64 v (/.f64 v (sqrt.f64 #s(literal -5/98 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64))))) #s(literal -25/19208 binary64) (.f64 (sqrt.f64 #s(literal -5/98 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) H)))) v)
(.f64 (fma.f64 (fma.f64 (.f64 (.f64 (sqrt.f64 H) #s(literal -1/2 binary64)) (.f64 v v)) (/.f64 (+.f64 (/.f64 #s(literal 125/941192 binary64) (pow.f64 H #s(literal 3 binary64))) (/.f64 #s(literal -125/3764768 binary64) (pow.f64 H #s(literal 3 binary64)))) (sqrt.f64 #s(literal -5/98 binary64))) (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (sqrt.f64 #s(literal -5/98 binary64))) #s(literal -25/19208 binary64))) (.f64 v v) (*.f64 (sqrt.f64 #s(literal -5/98 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) H)))) v)
(.f64 (fma.f64 (fma.f64 (.f64 (.f64 (sqrt.f64 H) #s(literal -1/2 binary64)) (fma.f64 (/.f64 (fma.f64 #s(literal -5/196 binary64) (/.f64 (+.f64 (/.f64 #s(literal 125/941192 binary64) (pow.f64 H #s(literal 3 binary64))) (/.f64 #s(literal -125/3764768 binary64) (pow.f64 H #s(literal 3 binary64)))) H) (/.f64 #s(literal 625/92236816 binary64) (pow.f64 H #s(literal 4 binary64)))) (sqrt.f64 #s(literal -5/98 binary64))) (.f64 v v) (/.f64 (+.f64 (/.f64 #s(literal 125/941192 binary64) (pow.f64 H #s(literal 3 binary64))) (/.f64 #s(literal -125/3764768 binary64) (pow.f64 H #s(literal 3 binary64)))) (sqrt.f64 #s(literal -5/98 binary64))))) (.f64 v v) (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (sqrt.f64 #s(literal -5/98 binary64))) #s(literal -25/19208 binary64))) (.f64 v v) (.f64 (sqrt.f64 #s(literal -5/98 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) H)))) v)
(*.f64 (sqrt.f64 #s(literal -5/98 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) H)))
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#s(literal 0 binary64)
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(*.f64 #s(literal -98/5 binary64) H)
(*.f64 #s(literal -98/5 binary64) H)
(*.f64 #s(literal -98/5 binary64) H)
(*.f64 #s(literal -98/5 binary64) H)
(/.f64 #s(literal -5/98 binary64) H)
(/.f64 (-.f64 #s(literal -5/98 binary64) (.f64 (/.f64 (.f64 v v) H) #s(literal 25/9604 binary64))) H)
(/.f64 (-.f64 #s(literal 5/98 binary64) (/.f64 (fma.f64 #s(literal -25/9604 binary64) (.f64 v v) (.f64 (/.f64 (pow.f64 v #s(literal 4 binary64)) H) #s(literal -125/941192 binary64))) H)) (neg.f64 H))
(/.f64 (-.f64 #s(literal 5/98 binary64) (/.f64 (fma.f64 (.f64 #s(literal -25/9604 binary64) v) v (/.f64 (fma.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal 125/941192 binary64) (.f64 (/.f64 (pow.f64 v #s(literal 6 binary64)) H) #s(literal 625/92236816 binary64))) (neg.f64 H))) H)) (neg.f64 H))
(*.f64 #s(literal -98/5 binary64) H)
(.f64 (neg.f64 H) (-.f64 #s(literal 98/5 binary64) (/.f64 (.f64 v v) H)))
(.f64 (neg.f64 H) (-.f64 #s(literal 98/5 binary64) (/.f64 (.f64 v v) H)))
(.f64 (neg.f64 H) (-.f64 #s(literal 98/5 binary64) (/.f64 (.f64 v v) H)))
(.f64 (.f64 (neg.f64 (sqrt.f64 H)) (sqrt.f64 #s(literal 98/5 binary64))) (sqrt.f64 #s(literal -1 binary64)))
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(.f64 (.f64 (sqrt.f64 H) v) (*.f64 (sqrt.f64 #s(literal 98/5 binary64)) (sqrt.f64 #s(literal -1 binary64))))
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(.f64 (-.f64 (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (.f64 (sqrt.f64 #s(literal -1 binary64)) v)) (sqrt.f64 #s(literal 98/5 binary64))) (fma.f64 #s(literal 5/784 binary64) (/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64)))) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 v #s(literal 5 binary64))) (sqrt.f64 #s(literal 98/5 binary64))) (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 3 binary64))) (sqrt.f64 #s(literal 98/5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64))))))) H)
(.f64 (neg.f64 H) (fma.f64 (.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H))) (.f64 (sqrt.f64 #s(literal -1 binary64)) v)) (sqrt.f64 #s(literal 98/5 binary64)) (fma.f64 #s(literal 5/784 binary64) (/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64)))) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 v #s(literal 5 binary64))) (sqrt.f64 #s(literal 98/5 binary64))) (fma.f64 (.f64 #s(literal -1/16 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 7 binary64))) (pow.f64 (sqrt.f64 #s(literal 98/5 binary64)) #s(literal 5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 7 binary64)))) (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 3 binary64))) (sqrt.f64 #s(literal 98/5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))))))))

rewrite251.0ms (3.2%)

Memory

12.7MiB live, 243.4MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	41	287
0	64	219
1	202	216
2	1269	216
0	8776	216

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

23 → 1 910

Calls

Call 1

Inputs
(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)))))
(/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))))
(sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)))
(fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64)))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64))
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64)))
(fma.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64))
(/.f64 H (*.f64 v v))
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (.f64 v v)))) v)))
(atan.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (.f64 v v)))) v))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (.f64 v v)))) v)
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))))
(.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (.f64 v v)))))
(-.f64 (.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (.f64 v v))))) (.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (.f64 v v)))) v))
(atan.f64 (/.f64 (-.f64 (.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (.f64 v v))))) (.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (.f64 v v)))) v)) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (.f64 v v))))) (.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (.f64 v v)))) v)) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))
(*.f64 #s(literal -98/5 binary64) H)
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))
(fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))
(sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))
(.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (.f64 v v)))) v)

Outputs
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eval618.0ms (8%)

Memory: 0.4MiB live, 541.1MiB allocated
Compiler: Compiled 115 234 to 7 742 computations (93.3% saved)

prune122.0ms (1.6%)

Memory

-1.3MiB live, 159.6MiB allocated

Pruning

14 alts after pruning (10 fresh and 4 done)

	Pruned	Kept	Total
New	2 909	6	2 915
Fresh	6	4	10
Picked	1	4	5
Done	0	0	0
Total	2 916	14	2 930

Accuracy

100.0%

Counts

2 930 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	68.1%	(atan.f64 (/.f64 (.f64 (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (.f64 v v))) v) (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v))))
	70.9%	(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 (.f64 v v) (/.f64 (.f64 v v) (fma.f64 H #s(literal 98/5 binary64) (.f64 v v))) (neg.f64 (.f64 (.f64 #s(literal 9604/25 binary64) H) (/.f64 H (fma.f64 H #s(literal 98/5 binary64) (.f64 v v)))))))))
✓	71.8%	(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)))))
	42.3%	(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))))
▶	35.2%	(atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 (/.f64 #s(literal -49/5 binary64) v) H v))))
▶	71.6%	(atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v))) v)))
▶	68.8%	(atan.f64 (.f64 (/.f64 v (fma.f64 H #s(literal -98/5 binary64) (.f64 v v))) (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v)))))
▶	30.3%	(atan.f64 #s(approx (/ (- (* 0 (neg (sqrt (+ (* -98/5 H) (* v v))))) (* (neg (sqrt (+ (* -98/5 H) (* v v)))) v)) (+ (* -98/5 H) (* v v))) #s(literal 1 binary64)))
✓	30.7%	(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64))))
	35.6%	(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64))))
✓	35.6%	(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64)))
✓	71.8%	#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (.f64 v v)))) v)))
	42.3%	#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ ( -98/5 H) (* v v)) (*.f64 #s(literal -98/5 binary64) H)))) v)))
▶	42.7%	#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (.f64 (sqrt.f64 #s(approx (/ 1 (+ ( -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H))) v)))

Compiler

Compiled 537 to 360 computations (33% saved)

simplify357.0ms (4.6%)

Memory

17.1MiB live, 127.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 v v)
cost-diff	0	(fma.f64 H #s(literal -98/5 binary64) (*.f64 v v))
cost-diff	0	(/.f64 v (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v)))
cost-diff	0	(atan.f64 (.f64 (/.f64 v (fma.f64 H #s(literal -98/5 binary64) (.f64 v v))) (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v)))))
cost-diff	0	(fma.f64 (/.f64 #s(literal -49/5 binary64) v) H v)
cost-diff	0	#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 (/.f64 #s(literal -49/5 binary64) v) H v))
cost-diff	0	(/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 (/.f64 #s(literal -49/5 binary64) v) H v)))
cost-diff	0	(atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 (/.f64 #s(literal -49/5 binary64) v) H v))))
cost-diff	0	(sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H)))
cost-diff	0	(.f64 (sqrt.f64 #s(approx (/ 1 (+ ( -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H))) v)
cost-diff	0	(atan.f64 (.f64 (sqrt.f64 #s(approx (/ 1 (+ ( -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H))) v))
cost-diff	0	#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (.f64 (sqrt.f64 #s(approx (/ 1 (+ ( -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H))) v)))
cost-diff	0	#s(approx (/ (- (* 0 (neg (sqrt (+ (* -98/5 H) (* v v))))) (* (neg (sqrt (+ (* -98/5 H) (* v v)))) v)) (+ (* -98/5 H) (* v v))) #s(literal 1 binary64))
cost-diff	0	(atan.f64 #s(approx (/ (- (* 0 (neg (sqrt (+ (* -98/5 H) (* v v))))) (* (neg (sqrt (+ (* -98/5 H) (* v v)))) v)) (+ (* -98/5 H) (* v v))) #s(literal 1 binary64)))
cost-diff	0	(sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v)))
cost-diff	0	(/.f64 (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v))) v)
cost-diff	0	(atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v))) v)))
cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v))) v))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	337
0	68	302
1	116	298
2	161	294
3	300	294
4	568	294
5	1055	294
6	1531	294
7	1900	294
8	2184	294
9	2422	294
10	2863	290
11	3307	290
12	3817	290
13	4928	290
14	5717	290
15	6073	290
16	6423	290
17	6864	290
0	8028	286

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Calls

Call 1

Inputs
(atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v))) v)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v))) v))
#s(literal 1 binary64)
(/.f64 (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v))) v)
(sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v)))
(fma.f64 H #s(literal -98/5 binary64) (*.f64 v v))
H
#s(literal -98/5 binary64)
(*.f64 v v)
v
(atan.f64 #s(approx (/ (- (* 0 (neg (sqrt (+ (* -98/5 H) (* v v))))) (* (neg (sqrt (+ (* -98/5 H) (* v v)))) v)) (+ (* -98/5 H) (* v v))) #s(literal 1 binary64)))
#s(approx (/ (- (* 0 (neg (sqrt (+ (* -98/5 H) (* v v))))) (* (neg (sqrt (+ (* -98/5 H) (* v v)))) v)) (+ (* -98/5 H) (* v v))) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (.f64 (sqrt.f64 #s(approx (/ 1 (+ ( -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H))) v)))
(atan.f64 (.f64 (sqrt.f64 #s(approx (/ 1 (+ ( -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H))) v))
(.f64 (sqrt.f64 #s(approx (/ 1 (+ ( -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H))) v)
(sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H)))
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H))
(/.f64 #s(literal -5/98 binary64) H)
#s(literal -5/98 binary64)
H
v
(atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 (/.f64 #s(literal -49/5 binary64) v) H v))))
(/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 (/.f64 #s(literal -49/5 binary64) v) H v)))
v
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 (/.f64 #s(literal -49/5 binary64) v) H v))
(fma.f64 (/.f64 #s(literal -49/5 binary64) v) H v)
(/.f64 #s(literal -49/5 binary64) v)
#s(literal -49/5 binary64)
H
(atan.f64 (.f64 (/.f64 v (fma.f64 H #s(literal -98/5 binary64) (.f64 v v))) (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v)))))
(.f64 (/.f64 v (fma.f64 H #s(literal -98/5 binary64) (.f64 v v))) (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v))))
(/.f64 v (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v)))
v
(fma.f64 H #s(literal -98/5 binary64) (*.f64 v v))
H
#s(literal -98/5 binary64)
(*.f64 v v)
(sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v)))

Outputs
(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))))
(/.f64 v (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))))
#s(literal 1 binary64)
(/.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) v)
(sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))
(fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))
H
#s(literal -98/5 binary64)
(*.f64 v v)
v
(atan.f64 #s(approx (/ (- (* 0 (neg (sqrt (+ (* -98/5 H) (* v v))))) (* (neg (sqrt (+ (* -98/5 H) (* v v)))) v)) (+ (* -98/5 H) (* v v))) #s(literal 1 binary64)))
#s(approx (/ (- (* 0 (neg (sqrt (+ (* -98/5 H) (* v v))))) (* (neg (sqrt (+ (* -98/5 H) (* v v)))) v)) (+ (* -98/5 H) (* v v))) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (.f64 (sqrt.f64 #s(approx (/ 1 (+ ( -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H))) v)))
(atan.f64 (.f64 (sqrt.f64 #s(approx (/ 1 (+ ( -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H))) v))
(.f64 (sqrt.f64 #s(approx (/ 1 (+ ( -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H))) v)
(sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H)))
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H))
(/.f64 #s(literal -5/98 binary64) H)
#s(literal -5/98 binary64)
H
v
(atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 (/.f64 #s(literal -49/5 binary64) v) H v))))
(/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 (/.f64 #s(literal -49/5 binary64) v) H v)))
v
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 (/.f64 #s(literal -49/5 binary64) v) H v))
(fma.f64 (/.f64 #s(literal -49/5 binary64) v) H v)
(/.f64 #s(literal -49/5 binary64) v)
#s(literal -49/5 binary64)
H
(atan.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) (fma.f64 (/.f64 H v) #s(literal -98/5 binary64) v)))
(/.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) (fma.f64 (/.f64 H v) #s(literal -98/5 binary64) v))
(/.f64 v (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))
v
(fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))
H
#s(literal -98/5 binary64)
(*.f64 v v)
(sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))

localize320.0ms (4.1%)

Memory

9.5MiB live, 165.7MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.21322250976844204	(fma.f64 H #s(literal -98/5 binary64) (*.f64 v v))
accuracy	1.8466038937783118	(.f64 (/.f64 v (fma.f64 H #s(literal -98/5 binary64) (.f64 v v))) (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v))))
accuracy	17.22471595472462	(/.f64 v (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v)))
accuracy	17.363179533378553	(sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v)))
accuracy	0.08203125	(fma.f64 (/.f64 #s(literal -49/5 binary64) v) H v)
accuracy	0.0859375	(/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 (/.f64 #s(literal -49/5 binary64) v) H v)))
accuracy	0.46875	(/.f64 #s(literal -49/5 binary64) v)
accuracy	44.71525892703002	#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 (/.f64 #s(literal -49/5 binary64) v) H v))
accuracy	0.1640625	(/.f64 #s(literal -5/98 binary64) H)
accuracy	0.2578125	(.f64 (sqrt.f64 #s(approx (/ 1 (+ ( -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H))) v)
accuracy	16.69654059808196	(sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H)))
accuracy	39.01076480899954	#s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H))
accuracy	0.00390625	(atan.f64 #s(approx (/ (- (* 0 (neg (sqrt (+ (* -98/5 H) (* v v))))) (* (neg (sqrt (+ (* -98/5 H) (* v v)))) v)) (+ (* -98/5 H) (* v v))) #s(literal 1 binary64)))
accuracy	44.62514626623931	#s(approx (/ (- (* 0 (neg (sqrt (+ (* -98/5 H) (* v v))))) (* (neg (sqrt (+ (* -98/5 H) (* v v)))) v)) (+ (* -98/5 H) (* v v))) #s(literal 1 binary64))
accuracy	0.04296875	(/.f64 (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v))) v)
accuracy	0.21322250976844204	(fma.f64 H #s(literal -98/5 binary64) (*.f64 v v))
accuracy	0.24109350804375576	(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v))) v))
accuracy	17.363179533378553	(sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v)))

Samples

213.0ms	254×	0	valid
2.0ms	2×	3	valid

Compiler

Compiled 646 to 93 computations (85.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 174.0ms

ival-div: 84.0ms (48.2% of total)

ival-neg: 37.0ms (21.2% of total)

ival-mult: 15.0ms (8.6% of total)

const: 14.0ms (8% of total)

ival-atan: 10.0ms (5.7% of total)

ival-sqrt: 7.0ms (4% of total)

ival-add: 4.0ms (2.3% of total)

ival-sub: 2.0ms (1.1% of total)

adjust: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

series76.0ms (1%)

Memory

-14.9MiB live, 36.5MiB allocated

Counts

22 → 492

Calls

Call 1

Inputs
#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v))) v)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v))) v))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v))) v) #<representation binary64>) () ())
#s(alt #<batchref> (patch (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (atan.f64 #s(approx (/ (- (* 0 (neg (sqrt (+ (* -98/5 H) (* v v))))) (* (neg (sqrt (+ (* -98/5 H) (* v v)))) v)) (+ (* -98/5 H) (* v v))) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (/ (- (* 0 (neg (sqrt (+ (* -98/5 H) (* v v))))) (* (neg (sqrt (+ (* -98/5 H) (* v v)))) v)) (+ (* -98/5 H) (* v v))) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (.f64 (sqrt.f64 #s(approx (/ 1 (+ ( -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H))) v))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (atan.f64 (.f64 (sqrt.f64 #s(approx (/ 1 (+ ( -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H))) v)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 (sqrt.f64 #s(approx (/ 1 (+ ( -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H))) v) #<representation binary64>) () ())
#s(alt #<batchref> (patch (sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 (/.f64 #s(literal -49/5 binary64) v) H v)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 (/.f64 #s(literal -49/5 binary64) v) H v))) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 (/.f64 #s(literal -49/5 binary64) v) H v)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 (/.f64 #s(literal -49/5 binary64) v) H v) #<representation binary64>) () ())
#s(alt #<batchref> (patch (atan.f64 (.f64 (/.f64 v (fma.f64 H #s(literal -98/5 binary64) (.f64 v v))) (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v))))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 v (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 v v) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 #s(literal -5/98 binary64) H) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 #s(literal -49/5 binary64) v) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 (/.f64 v (fma.f64 H #s(literal -98/5 binary64) (.f64 v v))) (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v)))) #<representation binary64>) () ())

Outputs
#s(alt #<batchref> (taylor 0 v) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v))) v)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 v) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v))) v)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 v) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v))) v)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 v) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v))) v)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 v) (#s(alt #<batchref> (patch (atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v))) v))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 v) (#s(alt #<batchref> (patch (atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v))) v))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 v) (#s(alt #<batchref> (patch (atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v))) v))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 v) (#s(alt #<batchref> (patch (atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v))) v))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 v) (#s(alt #<batchref> (patch (/.f64 (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v))) v) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 v) (#s(alt #<batchref> (patch (/.f64 (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v))) v) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 v) (#s(alt #<batchref> (patch (/.f64 (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v))) v) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 v) (#s(alt #<batchref> (patch (/.f64 (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v))) v) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 v) (#s(alt #<batchref> (patch (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 v) (#s(alt #<batchref> (patch (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 v) (#s(alt #<batchref> (patch (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 v) (#s(alt #<batchref> (patch (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 v) (#s(alt #<batchref> (patch (atan.f64 #s(approx (/ (- (* 0 (neg (sqrt (+ (* -98/5 H) (* v v))))) (* (neg (sqrt (+ (* -98/5 H) (* v v)))) v)) (+ (* -98/5 H) (* v v))) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 v) (#s(alt #<batchref> (patch (atan.f64 #s(approx (/ (- (* 0 (neg (sqrt (+ (* -98/5 H) (* v v))))) (* (neg (sqrt (+ (* -98/5 H) (* v v)))) v)) (+ (* -98/5 H) (* v v))) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 v) (#s(alt #<batchref> (patch (atan.f64 #s(approx (/ (- (* 0 (neg (sqrt (+ (* -98/5 H) (* v v))))) (* (neg (sqrt (+ (* -98/5 H) (* v v)))) v)) (+ (* -98/5 H) (* v v))) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 v) (#s(alt #<batchref> (patch (atan.f64 #s(approx (/ (- (* 0 (neg (sqrt (+ (* -98/5 H) (* v v))))) (* (neg (sqrt (+ (* -98/5 H) (* v v)))) v)) (+ (* -98/5 H) (* v v))) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 v) (#s(alt #<batchref> (patch #s(approx (/ (- (* 0 (neg (sqrt (+ (* -98/5 H) (* v v))))) (* (neg (sqrt (+ (* -98/5 H) (* v v)))) v)) (+ (* -98/5 H) (* v v))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 v) (#s(alt #<batchref> (patch #s(approx (/ (- (* 0 (neg (sqrt (+ (* -98/5 H) (* v v))))) (* (neg (sqrt (+ (* -98/5 H) (* v v)))) v)) (+ (* -98/5 H) (* v v))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 v) (#s(alt #<batchref> (patch #s(approx (/ (- (* 0 (neg (sqrt (+ (* -98/5 H) (* v v))))) (* (neg (sqrt (+ (* -98/5 H) (* v v)))) v)) (+ (* -98/5 H) (* v v))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 v) (#s(alt #<batchref> (patch #s(approx (/ (- (* 0 (neg (sqrt (+ (* -98/5 H) (* v v))))) (* (neg (sqrt (+ (* -98/5 H) (* v v)))) v)) (+ (* -98/5 H) (* v v))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 v) (#s(alt #<batchref> (patch #s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (.f64 (sqrt.f64 #s(approx (/ 1 (+ ( -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H))) v))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 v) (#s(alt #<batchref> (patch #s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (.f64 (sqrt.f64 #s(approx (/ 1 (+ ( -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H))) v))) #<representation binary64>) () ())) ())
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#s(alt #<batchref> (taylor -inf H) (#s(alt #<batchref> (patch (.f64 (/.f64 v (fma.f64 H #s(literal -98/5 binary64) (.f64 v v))) (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v)))) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	H	@	-inf	((/ 1 (/ (sqrt (+ (* H -98/5) (* v v))) v)) (atan (/ 1 (/ (sqrt (+ (* H -98/5) (* v v))) v))) (/ (sqrt (+ (* H -98/5) (* v v))) v) (sqrt (+ (* H -98/5) (* v v))) (atan (/ (- (* 0 (neg (sqrt (+ (* -98/5 H) (* v v))))) (* (neg (sqrt (+ (* -98/5 H) (* v v)))) v)) (+ (* -98/5 H) (* v v)))) (/ (- (* 0 (neg (sqrt (+ (* -98/5 H) (* v v))))) (* (neg (sqrt (+ (* -98/5 H) (* v v)))) v)) (+ (* -98/5 H) (* v v))) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v)) (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (sqrt (- (* v v) (* (* 2 49/5) H))) (+ (* (/ -49/5 v) H) v) (atan (* (/ v (+ (* H -98/5) (* v v))) (sqrt (+ (* H -98/5) (* v v))))) (/ v (+ (* H -98/5) (* v v))) (+ (* H -98/5) (* v v)) (* v v) (/ 1 (+ (* -98/5 H) (* v v))) (/ -5/98 H) (/ -49/5 v) (* (/ v (+ (* H -98/5) (* v v))) (sqrt (+ (* H -98/5) (* v v)))))
3.0ms	H	@	inf	((/ 1 (/ (sqrt (+ (* H -98/5) (* v v))) v)) (atan (/ 1 (/ (sqrt (+ (* H -98/5) (* v v))) v))) (/ (sqrt (+ (* H -98/5) (* v v))) v) (sqrt (+ (* H -98/5) (* v v))) (atan (/ (- (* 0 (neg (sqrt (+ (* -98/5 H) (* v v))))) (* (neg (sqrt (+ (* -98/5 H) (* v v)))) v)) (+ (* -98/5 H) (* v v)))) (/ (- (* 0 (neg (sqrt (+ (* -98/5 H) (* v v))))) (* (neg (sqrt (+ (* -98/5 H) (* v v)))) v)) (+ (* -98/5 H) (* v v))) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v)) (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (sqrt (- (* v v) (* (* 2 49/5) H))) (+ (* (/ -49/5 v) H) v) (atan (* (/ v (+ (* H -98/5) (* v v))) (sqrt (+ (* H -98/5) (* v v))))) (/ v (+ (* H -98/5) (* v v))) (+ (* H -98/5) (* v v)) (* v v) (/ 1 (+ (* -98/5 H) (* v v))) (/ -5/98 H) (/ -49/5 v) (* (/ v (+ (* H -98/5) (* v v))) (sqrt (+ (* H -98/5) (* v v)))))
2.0ms	v	@	0	((/ 1 (/ (sqrt (+ (* H -98/5) (* v v))) v)) (atan (/ 1 (/ (sqrt (+ (* H -98/5) (* v v))) v))) (/ (sqrt (+ (* H -98/5) (* v v))) v) (sqrt (+ (* H -98/5) (* v v))) (atan (/ (- (* 0 (neg (sqrt (+ (* -98/5 H) (* v v))))) (* (neg (sqrt (+ (* -98/5 H) (* v v)))) v)) (+ (* -98/5 H) (* v v)))) (/ (- (* 0 (neg (sqrt (+ (* -98/5 H) (* v v))))) (* (neg (sqrt (+ (* -98/5 H) (* v v)))) v)) (+ (* -98/5 H) (* v v))) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v)) (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (sqrt (- (* v v) (* (* 2 49/5) H))) (+ (* (/ -49/5 v) H) v) (atan (* (/ v (+ (* H -98/5) (* v v))) (sqrt (+ (* H -98/5) (* v v))))) (/ v (+ (* H -98/5) (* v v))) (+ (* H -98/5) (* v v)) (* v v) (/ 1 (+ (* -98/5 H) (* v v))) (/ -5/98 H) (/ -49/5 v) (* (/ v (+ (* H -98/5) (* v v))) (sqrt (+ (* H -98/5) (* v v)))))
2.0ms	v	@	-inf	((/ 1 (/ (sqrt (+ (* H -98/5) (* v v))) v)) (atan (/ 1 (/ (sqrt (+ (* H -98/5) (* v v))) v))) (/ (sqrt (+ (* H -98/5) (* v v))) v) (sqrt (+ (* H -98/5) (* v v))) (atan (/ (- (* 0 (neg (sqrt (+ (* -98/5 H) (* v v))))) (* (neg (sqrt (+ (* -98/5 H) (* v v)))) v)) (+ (* -98/5 H) (* v v)))) (/ (- (* 0 (neg (sqrt (+ (* -98/5 H) (* v v))))) (* (neg (sqrt (+ (* -98/5 H) (* v v)))) v)) (+ (* -98/5 H) (* v v))) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v)) (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (sqrt (- (* v v) (* (* 2 49/5) H))) (+ (* (/ -49/5 v) H) v) (atan (* (/ v (+ (* H -98/5) (* v v))) (sqrt (+ (* H -98/5) (* v v))))) (/ v (+ (* H -98/5) (* v v))) (+ (* H -98/5) (* v v)) (* v v) (/ 1 (+ (* -98/5 H) (* v v))) (/ -5/98 H) (/ -49/5 v) (* (/ v (+ (* H -98/5) (* v v))) (sqrt (+ (* H -98/5) (* v v)))))
2.0ms	v	@	inf	((/ 1 (/ (sqrt (+ (* H -98/5) (* v v))) v)) (atan (/ 1 (/ (sqrt (+ (* H -98/5) (* v v))) v))) (/ (sqrt (+ (* H -98/5) (* v v))) v) (sqrt (+ (* H -98/5) (* v v))) (atan (/ (- (* 0 (neg (sqrt (+ (* -98/5 H) (* v v))))) (* (neg (sqrt (+ (* -98/5 H) (* v v)))) v)) (+ (* -98/5 H) (* v v)))) (/ (- (* 0 (neg (sqrt (+ (* -98/5 H) (* v v))))) (* (neg (sqrt (+ (* -98/5 H) (* v v)))) v)) (+ (* -98/5 H) (* v v))) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v)) (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (sqrt (- (* v v) (* (* 2 49/5) H))) (+ (* (/ -49/5 v) H) v) (atan (* (/ v (+ (* H -98/5) (* v v))) (sqrt (+ (* H -98/5) (* v v))))) (/ v (+ (* H -98/5) (* v v))) (+ (* H -98/5) (* v v)) (* v v) (/ 1 (+ (* -98/5 H) (* v v))) (/ -5/98 H) (/ -49/5 v) (* (/ v (+ (* H -98/5) (* v v))) (sqrt (+ (* H -98/5) (* v v)))))

simplify244.0ms (3.2%)

Memory

0.8MiB live, 172.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	625	9289
1	1863	9013
2	5954	8971
0	8155	8384

Stop Event

1×	iter limit
1×	node limit

Counts

492 → 485

Calls

Call 1

Inputs
(* (sqrt (/ 1 H)) (* v (sqrt -5/98)))
(* v (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98))))
(* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3))))) (sqrt -5/98)))) (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98))))))))
(* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 25/19208 (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (* H (pow (sqrt -5/98) 2)))) (* 625/92236816 (/ 1 (pow H 4))))) (sqrt -5/98)))) (* -1/2 (* (sqrt H) (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (sqrt -5/98))))))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(* (sqrt H) (/ (sqrt -98/5) v))
(/ (+ (* 1/2 (* (sqrt (/ 1 H)) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt H) (sqrt -98/5))) v)
(/ (+ (* (sqrt H) (sqrt -98/5)) (* (pow v 2) (+ (* -1/8 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (pow (sqrt -98/5) 3)))) (* 1/2 (* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5))))))) v)
(/ (+ (* (sqrt H) (sqrt -98/5)) (* (pow v 2) (+ (* 1/2 (* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5)))) (* (pow v 2) (+ (* -1/8 (* (sqrt (/ 1 (pow H 3))) (/ 1 (pow (sqrt -98/5) 3)))) (* 1/16 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 2) (pow (sqrt -98/5) 5))))))))) v)
(* (sqrt H) (sqrt -98/5))
(+ (* 1/2 (* (sqrt (/ 1 H)) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt H) (sqrt -98/5)))
(+ (* (sqrt H) (sqrt -98/5)) (* (pow v 2) (+ (* -1/8 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (pow (sqrt -98/5) 3)))) (* 1/2 (* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5)))))))
(+ (* (sqrt H) (sqrt -98/5)) (* (pow v 2) (+ (* 1/2 (* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5)))) (* (pow v 2) (+ (* -1/8 (* (sqrt (/ 1 (pow H 3))) (/ 1 (pow (sqrt -98/5) 3)))) (* 1/16 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 2) (pow (sqrt -98/5) 5)))))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(* (sqrt (/ 1 H)) (* v (sqrt -5/98)))
(* v (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98))))
(* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3))))) (sqrt -5/98)))) (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98))))))))
(* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 25/19208 (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (* H (pow (sqrt -5/98) 2)))) (* 625/92236816 (/ 1 (pow H 4))))) (sqrt -5/98)))) (* -1/2 (* (sqrt H) (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (sqrt -5/98))))))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(* (sqrt (/ 1 H)) (* v (sqrt -5/98)))
(* v (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98))))
(* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3))))) (sqrt -5/98)))) (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98))))))))
(* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 25/19208 (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (* H (pow (sqrt -5/98) 2)))) (* 625/92236816 (/ 1 (pow H 4))))) (sqrt -5/98)))) (* -1/2 (* (sqrt H) (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (sqrt -5/98))))))))))
(* (sqrt (/ 1 H)) (sqrt -5/98))
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98)))
(+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3))))) (sqrt -5/98)))) (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))))))
(+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 25/19208 (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (* H (pow (sqrt -5/98) 2)))) (* 625/92236816 (/ 1 (pow H 4))))) (sqrt -5/98)))) (* -1/2 (* (sqrt H) (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (sqrt -5/98)))))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(* (sqrt (/ 1 H)) (* v (sqrt -5/98)))
(* v (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98))))
(* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3))))) (sqrt -5/98)))) (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98))))))))
(* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 25/19208 (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (* H (pow (sqrt -5/98) 2)))) (* 625/92236816 (/ 1 (pow H 4))))) (sqrt -5/98)))) (* -1/2 (* (sqrt H) (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (sqrt -5/98))))))))))
(* (sqrt H) (sqrt -98/5))
(+ (* 1/2 (* (sqrt (/ 1 H)) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt H) (sqrt -98/5)))
(+ (* (sqrt H) (sqrt -98/5)) (* (pow v 2) (+ (* -1/8 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (pow (sqrt -98/5) 3)))) (* 1/2 (* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5)))))))
(+ (* (sqrt H) (sqrt -98/5)) (* (pow v 2) (+ (* 1/2 (* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5)))) (* (pow v 2) (+ (* -1/8 (* (sqrt (/ 1 (pow H 3))) (/ 1 (pow (sqrt -98/5) 3)))) (* 1/16 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 2) (pow (sqrt -98/5) 5)))))))))
(* -49/5 (/ H v))
(/ (+ (* -49/5 H) (pow v 2)) v)
(/ (+ (* -49/5 H) (pow v 2)) v)
(/ (+ (* -49/5 H) (pow v 2)) v)
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(* -5/98 (/ v H))
(* v (- (* -25/9604 (/ (pow v 2) (pow H 2))) (* 5/98 (/ 1 H))))
(* v (- (* (pow v 2) (- (* -125/941192 (/ (pow v 2) (pow H 3))) (* 25/9604 (/ 1 (pow H 2))))) (* 5/98 (/ 1 H))))
(* v (- (* (pow v 2) (- (* (pow v 2) (- (* -625/92236816 (/ (pow v 2) (pow H 4))) (* 125/941192 (/ 1 (pow H 3))))) (* 25/9604 (/ 1 (pow H 2))))) (* 5/98 (/ 1 H))))
(* -98/5 H)
(+ (* -98/5 H) (pow v 2))
(+ (* -98/5 H) (pow v 2))
(+ (* -98/5 H) (pow v 2))
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(/ -5/98 H)
(- (* -25/9604 (/ (pow v 2) (pow H 2))) (* 5/98 (/ 1 H)))
(- (* (pow v 2) (- (* -125/941192 (/ (pow v 2) (pow H 3))) (* 25/9604 (/ 1 (pow H 2))))) (* 5/98 (/ 1 H)))
(- (* (pow v 2) (- (* (pow v 2) (- (* -625/92236816 (/ (pow v 2) (pow H 4))) (* 125/941192 (/ 1 (pow H 3))))) (* 25/9604 (/ 1 (pow H 2))))) (* 5/98 (/ 1 H)))
(/ -49/5 v)
(/ -49/5 v)
(/ -49/5 v)
(/ -49/5 v)
(* (sqrt (/ 1 H)) (* v (sqrt -5/98)))
(* v (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98))))
(* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3))))) (sqrt -5/98)))) (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98))))))))
(* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 25/19208 (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (* H (pow (sqrt -5/98) 2)))) (* 625/92236816 (/ 1 (pow H 4))))) (sqrt -5/98)))) (* -1/2 (* (sqrt H) (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (sqrt -5/98))))))))))
1
(+ 1 (* 49/5 (/ H (pow v 2))))
(+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2)))))
(+ 1 (+ (* -1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
1
(+ 1 (* -49/5 (/ H (pow v 2))))
(+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))
(+ 1 (+ (* -117649/250 (/ (pow H 3) (pow v 6))) (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2))))))
v
(* v (+ 1 (* -49/5 (/ H (pow v 2)))))
(* v (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2))))))
(* v (+ 1 (+ (* -117649/250 (/ (pow H 3) (pow v 6))) (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
1
(+ 1 (* 49/5 (/ H (pow v 2))))
(+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2)))))
(+ 1 (+ (* -1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
1
(+ 1 (* 49/5 (/ H (pow v 2))))
(+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2)))))
(+ 1 (+ (* -1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2))))))
(/ 1 v)
(/ (+ 1 (* 49/5 (/ H (pow v 2)))) v)
(/ (+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2))))) v)
(/ (+ 1 (+ (* -1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2)))))) v)
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
1
(+ 1 (* 49/5 (/ H (pow v 2))))
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(* -98/5 H)
(* H (- (/ (pow v 2) H) 98/5))
(* H (- (/ (pow v 2) H) 98/5))
(* H (- (/ (pow v 2) H) 98/5))
(/ -5/98 H)
(/ (- (* -25/9604 (/ (pow v 2) H)) 5/98) H)
(/ (- (* -125/941192 (/ (pow v 4) (pow H 2))) (+ 5/98 (* 25/9604 (/ (pow v 2) H)))) H)
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(/ -5/98 H)
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(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(* -1 (* (sqrt H) (/ (* (sqrt -1) (sqrt 98/5)) v)))
(* -1 (* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* v (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (/ (* (sqrt -1) (sqrt 98/5)) v)))))
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(* -1 (* (sqrt H) (* (sqrt -1) (sqrt 98/5))))
(* -1 (* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5))))))
(* -1 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5)))))))
(* -1 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow H 7))) (/ (* (pow v 6) (sqrt -1)) (pow (sqrt 98/5) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5))))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
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(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
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(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
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(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
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(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
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(* -1 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow H 7))) (/ (* (pow v 6) (sqrt -1)) (pow (sqrt 98/5) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5))))))))
(* -49/5 (/ H v))
(* -1 (* H (+ (* -1 (/ v H)) (* 49/5 (/ 1 v)))))
(* -1 (* H (+ (* -1 (/ v H)) (* 49/5 (/ 1 v)))))
(* -1 (* H (+ (* -1 (/ v H)) (* 49/5 (/ 1 v)))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
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(* -1 (/ (+ (* -1 (/ (- (* -125/941192 (/ (pow v 5) H)) (* 25/9604 (pow v 3))) H)) (* 5/98 v)) H))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 625/92236816 (/ (pow v 7) H)) (* -125/941192 (pow v 5))) H)) (* 25/9604 (pow v 3))) H)) (* 5/98 v)) H))
(* -98/5 H)
(* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H)))))
(* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H)))))
(* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H)))))
(/ -5/98 H)
(* -1 (/ (+ 5/98 (* 25/9604 (/ (pow v 2) H))) H))
(* -1 (/ (+ 5/98 (* -1 (/ (- (* -125/941192 (/ (pow v 4) H)) (* 25/9604 (pow v 2))) H))) H))
(* -1 (/ (+ 5/98 (* -1 (/ (- (* -1 (/ (- (* 625/92236816 (/ (pow v 6) H)) (* -125/941192 (pow v 4))) H)) (* 25/9604 (pow v 2))) H))) H))
(/ -5/98 H)
(/ -5/98 H)
(/ -5/98 H)
(/ -5/98 H)
(* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))
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(+ (* -1 (/ (+ (* 125/1882384 (* (sqrt H) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* 1/2 (* (sqrt (/ 1 H)) (/ (* v (* (sqrt -1) (+ (* -625/368947264 (/ (* H (pow v 4)) (pow (sqrt 5/98) 2))) (* 625/92236816 (pow v 6))))) (sqrt 5/98))))) (pow H 3))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))

Outputs
(.f64 (.f64 (sqrt.f64 #s(literal -5/98 binary64)) v) (sqrt.f64 (/.f64 #s(literal 1 binary64) H)))
(.f64 (fma.f64 (.f64 (.f64 v (/.f64 v (sqrt.f64 #s(literal -5/98 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64))))) #s(literal -25/19208 binary64) (.f64 (sqrt.f64 #s(literal -5/98 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) H)))) v)
(.f64 (fma.f64 (fma.f64 (.f64 (.f64 v v) (.f64 (sqrt.f64 H) #s(literal -1/2 binary64))) (/.f64 (+.f64 (/.f64 #s(literal 125/941192 binary64) (pow.f64 H #s(literal 3 binary64))) (/.f64 #s(literal -125/3764768 binary64) (pow.f64 H #s(literal 3 binary64)))) (sqrt.f64 #s(literal -5/98 binary64))) (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (sqrt.f64 #s(literal -5/98 binary64))) #s(literal -25/19208 binary64))) (.f64 v v) (*.f64 (sqrt.f64 #s(literal -5/98 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) H)))) v)
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(.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) v)) (sqrt.f64 #s(literal 5/98 binary64)))
(fma.f64 (.f64 #s(literal -25/19208 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 3 binary64))) (sqrt.f64 #s(literal 5/98 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) v)) (sqrt.f64 #s(literal 5/98 binary64))))
(fma.f64 (.f64 #s(literal -125/1882384 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 5 binary64))) (sqrt.f64 #s(literal 5/98 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64)))) (fma.f64 (.f64 #s(literal -25/19208 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 3 binary64))) (sqrt.f64 #s(literal 5/98 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) v)) (sqrt.f64 #s(literal 5/98 binary64)))))
(fma.f64 (.f64 #s(literal -25/19208 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 3 binary64))) (sqrt.f64 #s(literal 5/98 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (.f64 (sqrt.f64 #s(literal -1 binary64)) v)) (sqrt.f64 #s(literal 5/98 binary64)) (/.f64 (fma.f64 (.f64 (.f64 (.f64 (fma.f64 (/.f64 (.f64 (pow.f64 v #s(literal 4 binary64)) H) #s(literal 5/98 binary64)) #s(literal -625/368947264 binary64) (.f64 (pow.f64 v #s(literal 6 binary64)) #s(literal 625/92236816 binary64))) (sqrt.f64 #s(literal -1 binary64))) (/.f64 v (sqrt.f64 #s(literal 5/98 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) H))) #s(literal 1/2 binary64) (.f64 (.f64 #s(literal 125/1882384 binary64) (sqrt.f64 H)) (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 5 binary64))) (sqrt.f64 #s(literal 5/98 binary64))))) (neg.f64 (pow.f64 H #s(literal 3 binary64))))))
(atan.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (.f64 v v)))) v))
(atan.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (.f64 v v)))) v))
(atan.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (.f64 v v)))) v))
(atan.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (.f64 v v)))) v))
(atan.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (.f64 v v)))) v))
(atan.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (.f64 v v)))) v))
(atan.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (.f64 v v)))) v))
(atan.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (.f64 v v)))) v))
(.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) v)) (sqrt.f64 #s(literal 5/98 binary64)))
(fma.f64 (.f64 #s(literal -25/19208 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 3 binary64))) (sqrt.f64 #s(literal 5/98 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) v)) (sqrt.f64 #s(literal 5/98 binary64))))
(fma.f64 (.f64 #s(literal -125/1882384 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 5 binary64))) (sqrt.f64 #s(literal 5/98 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64)))) (fma.f64 (.f64 #s(literal -25/19208 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 3 binary64))) (sqrt.f64 #s(literal 5/98 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) v)) (sqrt.f64 #s(literal 5/98 binary64)))))
(fma.f64 (.f64 #s(literal -25/19208 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 3 binary64))) (sqrt.f64 #s(literal 5/98 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (.f64 (sqrt.f64 #s(literal -1 binary64)) v)) (sqrt.f64 #s(literal 5/98 binary64)) (/.f64 (fma.f64 (.f64 (.f64 (.f64 (fma.f64 (/.f64 (.f64 (pow.f64 v #s(literal 4 binary64)) H) #s(literal 5/98 binary64)) #s(literal -625/368947264 binary64) (.f64 (pow.f64 v #s(literal 6 binary64)) #s(literal 625/92236816 binary64))) (sqrt.f64 #s(literal -1 binary64))) (/.f64 v (sqrt.f64 #s(literal 5/98 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) H))) #s(literal 1/2 binary64) (.f64 (.f64 #s(literal 125/1882384 binary64) (sqrt.f64 H)) (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 5 binary64))) (sqrt.f64 #s(literal 5/98 binary64))))) (neg.f64 (pow.f64 H #s(literal 3 binary64))))))
(.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal 5/98 binary64))) (sqrt.f64 #s(literal -1 binary64)))
(fma.f64 (.f64 #s(literal -25/19208 binary64) (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) v) v) (sqrt.f64 #s(literal 5/98 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal 5/98 binary64))) (sqrt.f64 #s(literal -1 binary64))))
(fma.f64 (.f64 #s(literal -25/19208 binary64) (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) v) v) (sqrt.f64 #s(literal 5/98 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (fma.f64 (.f64 #s(literal -125/1882384 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 4 binary64))) (sqrt.f64 #s(literal 5/98 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64)))) (.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal 5/98 binary64))) (sqrt.f64 #s(literal -1 binary64)))))
(fma.f64 (.f64 #s(literal -25/19208 binary64) (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) v) v) (sqrt.f64 #s(literal 5/98 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal 5/98 binary64))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) H))) (/.f64 (fma.f64 (/.f64 (.f64 (pow.f64 v #s(literal 4 binary64)) H) #s(literal 5/98 binary64)) #s(literal -625/368947264 binary64) (.f64 (pow.f64 v #s(literal 6 binary64)) #s(literal 625/92236816 binary64))) (sqrt.f64 #s(literal 5/98 binary64)))) #s(literal 1/2 binary64) (.f64 (.f64 #s(literal 125/1882384 binary64) (sqrt.f64 H)) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 4 binary64))) (sqrt.f64 #s(literal 5/98 binary64))))) (neg.f64 (pow.f64 H #s(literal 3 binary64))))))
(atan.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (.f64 v v)))) v))
(atan.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (.f64 v v)))) v))
(atan.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (.f64 v v)))) v))
(atan.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (.f64 v v)))) v))
(.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) v)) (sqrt.f64 #s(literal 5/98 binary64)))
(fma.f64 (.f64 #s(literal -25/19208 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 3 binary64))) (sqrt.f64 #s(literal 5/98 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) v)) (sqrt.f64 #s(literal 5/98 binary64))))
(fma.f64 (.f64 #s(literal -125/1882384 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 5 binary64))) (sqrt.f64 #s(literal 5/98 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64)))) (fma.f64 (.f64 #s(literal -25/19208 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 3 binary64))) (sqrt.f64 #s(literal 5/98 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) v)) (sqrt.f64 #s(literal 5/98 binary64)))))
(fma.f64 (.f64 #s(literal -25/19208 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 3 binary64))) (sqrt.f64 #s(literal 5/98 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (.f64 (sqrt.f64 #s(literal -1 binary64)) v)) (sqrt.f64 #s(literal 5/98 binary64)) (/.f64 (fma.f64 (.f64 (.f64 (.f64 (fma.f64 (/.f64 (.f64 (pow.f64 v #s(literal 4 binary64)) H) #s(literal 5/98 binary64)) #s(literal -625/368947264 binary64) (.f64 (pow.f64 v #s(literal 6 binary64)) #s(literal 625/92236816 binary64))) (sqrt.f64 #s(literal -1 binary64))) (/.f64 v (sqrt.f64 #s(literal 5/98 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) H))) #s(literal 1/2 binary64) (.f64 (.f64 #s(literal 125/1882384 binary64) (sqrt.f64 H)) (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 5 binary64))) (sqrt.f64 #s(literal 5/98 binary64))))) (neg.f64 (pow.f64 H #s(literal 3 binary64))))))
(.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (.f64 (sqrt.f64 #s(literal 98/5 binary64)) (sqrt.f64 H)))
(.f64 (neg.f64 H) (fma.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) v) v) (sqrt.f64 #s(literal 98/5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal 98/5 binary64))) (sqrt.f64 #s(literal -1 binary64)))))
(.f64 (neg.f64 H) (fma.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) v) v) (sqrt.f64 #s(literal 98/5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal 98/5 binary64))) (sqrt.f64 #s(literal -1 binary64)) (.f64 #s(literal -5/784 binary64) (/.f64 (.f64 (.f64 (pow.f64 v #s(literal 4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64))))) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 98/5 binary64)))))))
(.f64 (neg.f64 H) (fma.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 6 binary64))) (pow.f64 (sqrt.f64 #s(literal 98/5 binary64)) #s(literal 5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 7 binary64)))) (fma.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) v) v) (sqrt.f64 #s(literal 98/5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal 98/5 binary64))) (sqrt.f64 #s(literal -1 binary64)) (.f64 #s(literal -5/784 binary64) (/.f64 (.f64 (.f64 (pow.f64 v #s(literal 4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64))))) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 98/5 binary64))))))))
(*.f64 (/.f64 #s(literal -49/5 binary64) v) H)
(*.f64 (-.f64 (/.f64 v H) (/.f64 #s(literal 49/5 binary64) v)) H)
(*.f64 (-.f64 (/.f64 v H) (/.f64 #s(literal 49/5 binary64) v)) H)
(*.f64 (-.f64 (/.f64 v H) (/.f64 #s(literal 49/5 binary64) v)) H)
(atan.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (.f64 v v)))) v))
(atan.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (.f64 v v)))) v))
(atan.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (.f64 v v)))) v))
(atan.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (.f64 v v)))) v))
(*.f64 (/.f64 v H) #s(literal -5/98 binary64))
(/.f64 (fma.f64 (/.f64 (pow.f64 v #s(literal 3 binary64)) H) #s(literal 25/9604 binary64) (*.f64 #s(literal 5/98 binary64) v)) (neg.f64 H))
(/.f64 (fma.f64 #s(literal 5/98 binary64) v (/.f64 (fma.f64 (pow.f64 v #s(literal 3 binary64)) #s(literal -25/9604 binary64) (*.f64 (/.f64 (pow.f64 v #s(literal 5 binary64)) H) #s(literal -125/941192 binary64))) (neg.f64 H))) (neg.f64 H))
(/.f64 (fma.f64 #s(literal 5/98 binary64) v (/.f64 (+.f64 (/.f64 (fma.f64 (pow.f64 v #s(literal 5 binary64)) #s(literal 125/941192 binary64) (.f64 (/.f64 (pow.f64 v #s(literal 7 binary64)) H) #s(literal 625/92236816 binary64))) H) (.f64 (pow.f64 v #s(literal 3 binary64)) #s(literal 25/9604 binary64))) H)) (neg.f64 H))
(*.f64 #s(literal -98/5 binary64) H)
(*.f64 (fma.f64 v (/.f64 v H) #s(literal -98/5 binary64)) H)
(*.f64 (fma.f64 v (/.f64 v H) #s(literal -98/5 binary64)) H)
(*.f64 (fma.f64 v (/.f64 v H) #s(literal -98/5 binary64)) H)
(/.f64 #s(literal -5/98 binary64) H)
(/.f64 (fma.f64 (*.f64 v (/.f64 v H)) #s(literal -25/9604 binary64) #s(literal -5/98 binary64)) H)
(/.f64 (-.f64 #s(literal 5/98 binary64) (/.f64 (fma.f64 #s(literal -25/9604 binary64) (.f64 v v) (.f64 (/.f64 (pow.f64 v #s(literal 4 binary64)) H) #s(literal -125/941192 binary64))) H)) (neg.f64 H))
(/.f64 (+.f64 (/.f64 (neg.f64 (fma.f64 (.f64 #s(literal 25/9604 binary64) v) v (/.f64 (fma.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal 125/941192 binary64) (.f64 (/.f64 (pow.f64 v #s(literal 6 binary64)) H) #s(literal 625/92236816 binary64))) H))) H) #s(literal -5/98 binary64)) H)
(/.f64 #s(literal -5/98 binary64) H)
(/.f64 #s(literal -5/98 binary64) H)
(/.f64 #s(literal -5/98 binary64) H)
(/.f64 #s(literal -5/98 binary64) H)
(.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) v)) (sqrt.f64 #s(literal 5/98 binary64)))
(fma.f64 (.f64 #s(literal -25/19208 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 3 binary64))) (sqrt.f64 #s(literal 5/98 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) v)) (sqrt.f64 #s(literal 5/98 binary64))))
(fma.f64 (.f64 #s(literal -125/1882384 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 5 binary64))) (sqrt.f64 #s(literal 5/98 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64)))) (fma.f64 (.f64 #s(literal -25/19208 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 3 binary64))) (sqrt.f64 #s(literal 5/98 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) v)) (sqrt.f64 #s(literal 5/98 binary64)))))
(fma.f64 (.f64 #s(literal -25/19208 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 3 binary64))) (sqrt.f64 #s(literal 5/98 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (.f64 (sqrt.f64 #s(literal -1 binary64)) v)) (sqrt.f64 #s(literal 5/98 binary64)) (/.f64 (fma.f64 (.f64 (.f64 (.f64 (fma.f64 (/.f64 (.f64 (pow.f64 v #s(literal 4 binary64)) H) #s(literal 5/98 binary64)) #s(literal -625/368947264 binary64) (.f64 (pow.f64 v #s(literal 6 binary64)) #s(literal 625/92236816 binary64))) (sqrt.f64 #s(literal -1 binary64))) (/.f64 v (sqrt.f64 #s(literal 5/98 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) H))) #s(literal 1/2 binary64) (.f64 (.f64 #s(literal 125/1882384 binary64) (sqrt.f64 H)) (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 5 binary64))) (sqrt.f64 #s(literal 5/98 binary64))))) (neg.f64 (pow.f64 H #s(literal 3 binary64))))))

rewrite248.0ms (3.2%)

Memory

11.9MiB live, 243.0MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	48	307
0	68	254
1	245	250
2	1312	236
0	9354	236

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

22 → 1 447

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v))) v))
(atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v))) v)))
(/.f64 (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v))) v)
(sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v)))
(atan.f64 #s(approx (/ (- (* 0 (neg (sqrt (+ (* -98/5 H) (* v v))))) (* (neg (sqrt (+ (* -98/5 H) (* v v)))) v)) (+ (* -98/5 H) (* v v))) #s(literal 1 binary64)))
#s(approx (/ (- (* 0 (neg (sqrt (+ (* -98/5 H) (* v v))))) (* (neg (sqrt (+ (* -98/5 H) (* v v)))) v)) (+ (* -98/5 H) (* v v))) #s(literal 1 binary64))
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (.f64 (sqrt.f64 #s(approx (/ 1 (+ ( -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H))) v)))
(atan.f64 (.f64 (sqrt.f64 #s(approx (/ 1 (+ ( -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H))) v))
(.f64 (sqrt.f64 #s(approx (/ 1 (+ ( -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H))) v)
(sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H)))
(atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 (/.f64 #s(literal -49/5 binary64) v) H v))))
(/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 (/.f64 #s(literal -49/5 binary64) v) H v)))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 (/.f64 #s(literal -49/5 binary64) v) H v))
(fma.f64 (/.f64 #s(literal -49/5 binary64) v) H v)
(atan.f64 (.f64 (/.f64 v (fma.f64 H #s(literal -98/5 binary64) (.f64 v v))) (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v)))))
(/.f64 v (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v)))
(fma.f64 H #s(literal -98/5 binary64) (*.f64 v v))
(*.f64 v v)
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H))
(/.f64 #s(literal -5/98 binary64) H)
(/.f64 #s(literal -49/5 binary64) v)
(.f64 (/.f64 v (fma.f64 H #s(literal -98/5 binary64) (.f64 v v))) (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v))))

Outputs
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eval510.0ms (6.6%)

Memory: 15.6MiB live, 516.3MiB allocated
Compiler: Compiled 76 745 to 5 699 computations (92.6% saved)

prune138.0ms (1.8%)

Memory

-14.4MiB live, 145.9MiB allocated

Pruning

15 alts after pruning (8 fresh and 7 done)

	Pruned	Kept	Total
New	2 303	4	2 307
Fresh	1	4	5
Picked	2	3	5
Done	0	4	4
Total	2 306	15	2 321

Accuracy

100.0%

Counts

2 321 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	68.1%	(atan.f64 (/.f64 (.f64 (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (.f64 v v))) v) (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v))))
✓	71.8%	(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)))))
	42.3%	(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))))
✓	35.2%	(atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 (/.f64 #s(literal -49/5 binary64) v) H v))))
▶	42.1%	(atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(approx (+ (* H -98/5) (* v v)) (*.f64 #s(literal -98/5 binary64) H))) v)))
	40.7%	(atan.f64 (.f64 #s(approx (/ v (+ ( H -98/5) (* v v))) (.f64 (/.f64 v H) #s(literal -5/98 binary64))) (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (.f64 v v)))))
✓	30.3%	(atan.f64 #s(approx (/ (- (* 0 (neg (sqrt (+ (* -98/5 H) (* v v))))) (* (neg (sqrt (+ (* -98/5 H) (* v v)))) v)) (+ (* -98/5 H) (* v v))) #s(literal 1 binary64)))
✓	30.7%	(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64))))
▶	35.6%	(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64))))
✓	35.6%	(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64)))
▶	42.6%	#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (.f64 (pow.f64 (pow.f64 #s(approx (/ 1 (+ ( -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) v)))
✓	71.8%	#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (.f64 v v)))) v)))
	42.3%	#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ ( -98/5 H) (* v v)) (*.f64 #s(literal -98/5 binary64) H)))) v)))
✓	42.7%	#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (.f64 (sqrt.f64 #s(approx (/ 1 (+ ( -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H))) v)))
▶	42.8%	#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (.f64 (sqrt.f64 #s(approx (/ 1 (+ ( -98/5 H) (* v v))) (*.f64 (/.f64 #s(literal -1 binary64) H) #s(literal 5/98 binary64)))) v)))

Compiler

Compiled 548 to 402 computations (26.6% saved)

simplify241.0ms (3.1%)

Memory

0.9MiB live, 155.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (pow.f64 (pow.f64 #s(approx (/ 1 (+ ( -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) v)
cost-diff	0	(atan.f64 (.f64 (pow.f64 (pow.f64 #s(approx (/ 1 (+ ( -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) v))
cost-diff	0	#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (.f64 (pow.f64 (pow.f64 #s(approx (/ 1 (+ ( -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) v)))
cost-diff	12288	(pow.f64 (pow.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
cost-diff	0	(sqrt.f64 #s(approx (+ (* H -98/5) (* v v)) (*.f64 #s(literal -98/5 binary64) H)))
cost-diff	0	(/.f64 (sqrt.f64 #s(approx (+ (* H -98/5) (* v v)) (*.f64 #s(literal -98/5 binary64) H))) v)
cost-diff	0	(atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(approx (+ (* H -98/5) (* v v)) (*.f64 #s(literal -98/5 binary64) H))) v)))
cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(approx (+ (* H -98/5) (* v v)) (*.f64 #s(literal -98/5 binary64) H))) v))
cost-diff	0	(.f64 (sqrt.f64 #s(approx (/ 1 (+ ( -98/5 H) (* v v))) (*.f64 (/.f64 #s(literal -1 binary64) H) #s(literal 5/98 binary64)))) v)
cost-diff	0	(atan.f64 (.f64 (sqrt.f64 #s(approx (/ 1 (+ ( -98/5 H) (* v v))) (*.f64 (/.f64 #s(literal -1 binary64) H) #s(literal 5/98 binary64)))) v))
cost-diff	0	#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (.f64 (sqrt.f64 #s(approx (/ 1 (+ ( -98/5 H) (* v v))) (*.f64 (/.f64 #s(literal -1 binary64) H) #s(literal 5/98 binary64)))) v)))
cost-diff	320	(*.f64 (/.f64 #s(literal -1 binary64) H) #s(literal 5/98 binary64))
cost-diff	0	(/.f64 H (*.f64 v v))
cost-diff	0	(fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64))
cost-diff	0	#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64)))
cost-diff	0	(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64))))
cost-diff	0	(fma.f64 H #s(literal -98/5 binary64) (*.f64 v v))
cost-diff	0	(sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v)))
cost-diff	0	(.f64 (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (.f64 v v))) v)
cost-diff	0	(atan.f64 (/.f64 (.f64 (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (.f64 v v))) v) (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	427
0	80	388
1	108	388
2	138	384
3	159	384
4	238	384
5	293	384
6	415	384
7	623	384
8	1053	384
9	2003	384
10	2522	384
11	2983	384
12	3082	384
13	3143	384
14	3160	384
15	3191	384
16	3227	384
17	3299	384
18	3381	384
19	3509	384
20	3661	384
21	4032	382
22	4165	382
23	5224	382
24	5849	382
25	6279	382
26	6842	382
27	7715	382
0	8115	380

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Calls

Call 1

Inputs
(atan.f64 (/.f64 (.f64 (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (.f64 v v))) v) (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v))))
(/.f64 (.f64 (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (.f64 v v))) v) (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v)))
(.f64 (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (.f64 v v))) v)
(sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v)))
(fma.f64 H #s(literal -98/5 binary64) (*.f64 v v))
H
#s(literal -98/5 binary64)
(*.f64 v v)
v
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64)))
(fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64))
#s(literal -49/5 binary64)
(/.f64 H (*.f64 v v))
H
(*.f64 v v)
v
#s(literal -1 binary64)
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (.f64 (sqrt.f64 #s(approx (/ 1 (+ ( -98/5 H) (* v v))) (*.f64 (/.f64 #s(literal -1 binary64) H) #s(literal 5/98 binary64)))) v)))
(atan.f64 (.f64 (sqrt.f64 #s(approx (/ 1 (+ ( -98/5 H) (* v v))) (*.f64 (/.f64 #s(literal -1 binary64) H) #s(literal 5/98 binary64)))) v))
(.f64 (sqrt.f64 #s(approx (/ 1 (+ ( -98/5 H) (* v v))) (*.f64 (/.f64 #s(literal -1 binary64) H) #s(literal 5/98 binary64)))) v)
(sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (*.f64 (/.f64 #s(literal -1 binary64) H) #s(literal 5/98 binary64))))
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) (*.f64 (/.f64 #s(literal -1 binary64) H) #s(literal 5/98 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) H) #s(literal 5/98 binary64))
(/.f64 #s(literal -1 binary64) H)
#s(literal -1 binary64)
H
#s(literal 5/98 binary64)
v
(atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(approx (+ (* H -98/5) (* v v)) (*.f64 #s(literal -98/5 binary64) H))) v)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(approx (+ (* H -98/5) (* v v)) (*.f64 #s(literal -98/5 binary64) H))) v))
#s(literal 1 binary64)
(/.f64 (sqrt.f64 #s(approx (+ (* H -98/5) (* v v)) (*.f64 #s(literal -98/5 binary64) H))) v)
(sqrt.f64 #s(approx (+ (* H -98/5) (* v v)) (*.f64 #s(literal -98/5 binary64) H)))
#s(approx (+ (* H -98/5) (* v v)) (*.f64 #s(literal -98/5 binary64) H))
(*.f64 #s(literal -98/5 binary64) H)
#s(literal -98/5 binary64)
H
v
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (.f64 (pow.f64 (pow.f64 #s(approx (/ 1 (+ ( -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) v)))
(atan.f64 (.f64 (pow.f64 (pow.f64 #s(approx (/ 1 (+ ( -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) v))
(.f64 (pow.f64 (pow.f64 #s(approx (/ 1 (+ ( -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) v)
(pow.f64 (pow.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H)) #s(literal 1/4 binary64))
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H))
(/.f64 #s(literal -5/98 binary64) H)
#s(literal -5/98 binary64)
H
#s(literal 1/4 binary64)
#s(literal 2 binary64)
v

Outputs
(atan.f64 (/.f64 (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))) (fma.f64 (/.f64 H v) #s(literal -98/5 binary64) v)))
(/.f64 (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))) (fma.f64 (/.f64 H v) #s(literal -98/5 binary64) v))
(.f64 (sqrt.f64 (fma.f64 v v (.f64 #s(literal -98/5 binary64) H))) v)
(sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)))
(fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))
H
#s(literal -98/5 binary64)
(*.f64 v v)
v
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64) #s(literal -1 binary64))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64) #s(literal -1 binary64)))
(fma.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64) #s(literal -1 binary64))
#s(literal -49/5 binary64)
(/.f64 H (*.f64 v v))
H
(*.f64 v v)
v
#s(literal -1 binary64)
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (.f64 (sqrt.f64 #s(approx (/ 1 (+ ( -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H))) v)))
(atan.f64 (.f64 (sqrt.f64 #s(approx (/ 1 (+ ( -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H))) v))
(.f64 (sqrt.f64 #s(approx (/ 1 (+ ( -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H))) v)
(sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H)))
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H))
(/.f64 #s(literal -5/98 binary64) H)
(/.f64 #s(literal -1 binary64) H)
#s(literal -1 binary64)
H
#s(literal 5/98 binary64)
v
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (+ (* H -98/5) (* v v)) (*.f64 #s(literal -98/5 binary64) H)))))
(/.f64 v (sqrt.f64 #s(approx (+ (* H -98/5) (* v v)) (*.f64 #s(literal -98/5 binary64) H))))
#s(literal 1 binary64)
(/.f64 (sqrt.f64 #s(approx (+ (* H -98/5) (* v v)) (*.f64 #s(literal -98/5 binary64) H))) v)
(sqrt.f64 #s(approx (+ (* H -98/5) (* v v)) (*.f64 #s(literal -98/5 binary64) H)))
#s(approx (+ (* H -98/5) (* v v)) (*.f64 #s(literal -98/5 binary64) H))
(*.f64 #s(literal -98/5 binary64) H)
#s(literal -98/5 binary64)
H
v
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (.f64 (sqrt.f64 #s(approx (/ 1 (+ ( -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H))) v)))
(atan.f64 (.f64 (sqrt.f64 #s(approx (/ 1 (+ ( -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H))) v))
(.f64 (sqrt.f64 #s(approx (/ 1 (+ ( -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H))) v)
(sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H)))
(pow.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H)) #s(literal 1/4 binary64))
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H))
(/.f64 #s(literal -5/98 binary64) H)
#s(literal -5/98 binary64)
H
#s(literal 1/4 binary64)
#s(literal 2 binary64)
v

localize191.0ms (2.5%)

Memory

17.6MiB live, 350.7MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.24609375	(.f64 (pow.f64 (pow.f64 #s(approx (/ 1 (+ ( -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) v)
accuracy	0.552108789073768	(pow.f64 (pow.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
accuracy	16.59092515659411	(pow.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H)) #s(literal 1/4 binary64))
accuracy	38.286714967664516	#s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H))
accuracy	0.23718725804375576	(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(approx (+ (* H -98/5) (* v v)) (*.f64 #s(literal -98/5 binary64) H))) v))
accuracy	0.515625	(*.f64 #s(literal -98/5 binary64) H)
accuracy	16.887833999892653	(sqrt.f64 #s(approx (+ (* H -98/5) (* v v)) (*.f64 #s(literal -98/5 binary64) H)))
accuracy	38.402312967545576	#s(approx (+ (* H -98/5) (* v v)) (*.f64 #s(literal -98/5 binary64) H))
accuracy	0.24609375	(.f64 (sqrt.f64 #s(approx (/ 1 (+ ( -98/5 H) (* v v))) (*.f64 (/.f64 #s(literal -1 binary64) H) #s(literal 5/98 binary64)))) v)
accuracy	0.3046875	(*.f64 (/.f64 #s(literal -1 binary64) H) #s(literal 5/98 binary64))
accuracy	16.229074168422592	(sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (*.f64 (/.f64 #s(literal -1 binary64) H) #s(literal 5/98 binary64))))
accuracy	38.286714967664516	#s(approx (/ 1 (+ (* -98/5 H) (* v v))) (*.f64 (/.f64 #s(literal -1 binary64) H) #s(literal 5/98 binary64)))
accuracy	0.00390625	(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64))))
accuracy	0.11328125	(fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64))
accuracy	6.007229756897189	(/.f64 H (*.f64 v v))
accuracy	41.08076626537276	#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64)))
accuracy	0.08984375	(.f64 (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (.f64 v v))) v)
accuracy	0.21322250976844204	(fma.f64 H #s(literal -98/5 binary64) (*.f64 v v))
accuracy	16.887833999892653	(sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v)))
accuracy	19.532117386726025	(/.f64 (.f64 (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (.f64 v v))) v) (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v)))

Samples

134.0ms	251×	0	valid
8.0ms	5×	5	exit

Compiler

Compiled 767 to 101 computations (86.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 119.0ms

ival-mult: 48.0ms (40.3% of total)

const: 21.0ms (17.6% of total)

ival-div: 16.0ms (13.4% of total)

ival-atan: 11.0ms (9.2% of total)

ival-sqrt: 6.0ms (5% of total)

ival-pow: 6.0ms (5% of total)

ival-add: 4.0ms (3.4% of total)

ival-pow2: 3.0ms (2.5% of total)

adjust: 2.0ms (1.7% of total)

ival-sub: 1.0ms (0.8% of total)

exact: 1.0ms (0.8% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

series68.0ms (0.9%)

Memory

-24.3MiB live, 172.4MiB allocated

Counts

27 → 624

Calls

Call 1

Inputs
#s(alt #<batchref> (patch (atan.f64 (/.f64 (.f64 (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (.f64 v v))) v) (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (.f64 v v))) v) #<representation binary64>) () ())
#s(alt #<batchref> (patch (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 H (*.f64 v v)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 (/.f64 #s(literal -1 binary64) H) #s(literal 5/98 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (.f64 (sqrt.f64 #s(approx (/ 1 (+ ( -98/5 H) (* v v))) (*.f64 (/.f64 #s(literal -1 binary64) H) #s(literal 5/98 binary64)))) v))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (atan.f64 (.f64 (sqrt.f64 #s(approx (/ 1 (+ ( -98/5 H) (* v v))) (*.f64 (/.f64 #s(literal -1 binary64) H) #s(literal 5/98 binary64)))) v)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 (sqrt.f64 #s(approx (/ 1 (+ ( -98/5 H) (* v v))) (*.f64 (/.f64 #s(literal -1 binary64) H) #s(literal 5/98 binary64)))) v) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(approx (+ (* H -98/5) (* v v)) (*.f64 #s(literal -98/5 binary64) H))) v)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(approx (+ (* H -98/5) (* v v)) (*.f64 #s(literal -98/5 binary64) H))) v))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (sqrt.f64 #s(approx (+ (* H -98/5) (* v v)) (*.f64 #s(literal -98/5 binary64) H))) v) #<representation binary64>) () ())
#s(alt #<batchref> (patch (sqrt.f64 #s(approx (+ (* H -98/5) (* v v)) (*.f64 #s(literal -98/5 binary64) H))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (pow.f64 (pow.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (.f64 (pow.f64 (pow.f64 #s(approx (/ 1 (+ ( -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) v))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (atan.f64 (.f64 (pow.f64 (pow.f64 #s(approx (/ 1 (+ ( -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) v)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 (pow.f64 (pow.f64 #s(approx (/ 1 (+ ( -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) v) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (.f64 (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (.f64 v v))) v) (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v))) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (*.f64 (/.f64 #s(literal -1 binary64) H) #s(literal 5/98 binary64))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (*.f64 (/.f64 #s(literal -1 binary64) H) #s(literal 5/98 binary64)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (+ (* H -98/5) (* v v)) (*.f64 #s(literal -98/5 binary64) H)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 #s(literal -98/5 binary64) H) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (pow.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H)) #s(literal 1/4 binary64)) #<representation binary64>) () ())

Outputs
#s(alt #<batchref> (taylor 0 v) (#s(alt #<batchref> (patch (atan.f64 (/.f64 (.f64 (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (.f64 v v))) v) (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 v) (#s(alt #<batchref> (patch (atan.f64 (/.f64 (.f64 (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (.f64 v v))) v) (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 v) (#s(alt #<batchref> (patch (atan.f64 (/.f64 (.f64 (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (.f64 v v))) v) (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 v) (#s(alt #<batchref> (patch (atan.f64 (/.f64 (.f64 (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (.f64 v v))) v) (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 v) (#s(alt #<batchref> (patch (.f64 (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (.f64 v v))) v) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 v) (#s(alt #<batchref> (patch (.f64 (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (.f64 v v))) v) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 v) (#s(alt #<batchref> (patch (.f64 (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (.f64 v v))) v) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 v) (#s(alt #<batchref> (patch (.f64 (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (.f64 v v))) v) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 v) (#s(alt #<batchref> (patch (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 v) (#s(alt #<batchref> (patch (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 v) (#s(alt #<batchref> (patch (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 v) (#s(alt #<batchref> (patch (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 v) (#s(alt #<batchref> (patch (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 v) (#s(alt #<batchref> (patch (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 v) (#s(alt #<batchref> (patch (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 v) (#s(alt #<batchref> (patch (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 v) (#s(alt #<batchref> (patch (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 v) (#s(alt #<batchref> (patch (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 v) (#s(alt #<batchref> (patch (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 v) (#s(alt #<batchref> (patch (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 v) (#s(alt #<batchref> (patch #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 v) (#s(alt #<batchref> (patch #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 v) (#s(alt #<batchref> (patch #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 v) (#s(alt #<batchref> (patch #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 v) (#s(alt #<batchref> (patch (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 v) (#s(alt #<batchref> (patch (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 v) (#s(alt #<batchref> (patch (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 v) (#s(alt #<batchref> (patch (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 v) (#s(alt #<batchref> (patch (/.f64 H (*.f64 v v)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 v) (#s(alt #<batchref> (patch (/.f64 H (*.f64 v v)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 v) (#s(alt #<batchref> (patch (/.f64 H (*.f64 v v)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 v) (#s(alt #<batchref> (patch (/.f64 H (*.f64 v v)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 v) (#s(alt #<batchref> (patch #s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (.f64 (sqrt.f64 #s(approx (/ 1 (+ ( -98/5 H) (* v v))) (*.f64 (/.f64 #s(literal -1 binary64) H) #s(literal 5/98 binary64)))) v))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 v) (#s(alt #<batchref> (patch #s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (.f64 (sqrt.f64 #s(approx (/ 1 (+ ( -98/5 H) (* v v))) (*.f64 (/.f64 #s(literal -1 binary64) H) #s(literal 5/98 binary64)))) v))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 v) (#s(alt #<batchref> (patch #s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (.f64 (sqrt.f64 #s(approx (/ 1 (+ ( -98/5 H) (* v v))) (*.f64 (/.f64 #s(literal -1 binary64) H) #s(literal 5/98 binary64)))) v))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 v) (#s(alt #<batchref> (patch #s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (.f64 (sqrt.f64 #s(approx (/ 1 (+ ( -98/5 H) (* v v))) (*.f64 (/.f64 #s(literal -1 binary64) H) #s(literal 5/98 binary64)))) v))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 v) (#s(alt #<batchref> (patch (atan.f64 (.f64 (sqrt.f64 #s(approx (/ 1 (+ ( -98/5 H) (* v v))) (*.f64 (/.f64 #s(literal -1 binary64) H) #s(literal 5/98 binary64)))) v)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 v) (#s(alt #<batchref> (patch (atan.f64 (.f64 (sqrt.f64 #s(approx (/ 1 (+ ( -98/5 H) (* v v))) (*.f64 (/.f64 #s(literal -1 binary64) H) #s(literal 5/98 binary64)))) v)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 v) (#s(alt #<batchref> (patch (atan.f64 (.f64 (sqrt.f64 #s(approx (/ 1 (+ ( -98/5 H) (* v v))) (*.f64 (/.f64 #s(literal -1 binary64) H) #s(literal 5/98 binary64)))) v)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 v) (#s(alt #<batchref> (patch (atan.f64 (.f64 (sqrt.f64 #s(approx (/ 1 (+ ( -98/5 H) (* v v))) (*.f64 (/.f64 #s(literal -1 binary64) H) #s(literal 5/98 binary64)))) v)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 v) (#s(alt #<batchref> (patch (.f64 (sqrt.f64 #s(approx (/ 1 (+ ( -98/5 H) (* v v))) (*.f64 (/.f64 #s(literal -1 binary64) H) #s(literal 5/98 binary64)))) v) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 v) (#s(alt #<batchref> (patch (.f64 (sqrt.f64 #s(approx (/ 1 (+ ( -98/5 H) (* v v))) (*.f64 (/.f64 #s(literal -1 binary64) H) #s(literal 5/98 binary64)))) v) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 v) (#s(alt #<batchref> (patch (.f64 (sqrt.f64 #s(approx (/ 1 (+ ( -98/5 H) (* v v))) (*.f64 (/.f64 #s(literal -1 binary64) H) #s(literal 5/98 binary64)))) v) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 v) (#s(alt #<batchref> (patch (.f64 (sqrt.f64 #s(approx (/ 1 (+ ( -98/5 H) (* v v))) (*.f64 (/.f64 #s(literal -1 binary64) H) #s(literal 5/98 binary64)))) v) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 v) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(approx (+ (* H -98/5) (* v v)) (*.f64 #s(literal -98/5 binary64) H))) v)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 v) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(approx (+ (* H -98/5) (* v v)) (*.f64 #s(literal -98/5 binary64) H))) v)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 v) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(approx (+ (* H -98/5) (* v v)) (*.f64 #s(literal -98/5 binary64) H))) v)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 v) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(approx (+ (* H -98/5) (* v v)) (*.f64 #s(literal -98/5 binary64) H))) v)) #<representation binary64>) () ())) ())
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#s(alt #<batchref> (taylor -inf H) (#s(alt #<batchref> (patch (/.f64 (sqrt.f64 #s(approx (+ (* H -98/5) (* v v)) (*.f64 #s(literal -98/5 binary64) H))) v) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf H) (#s(alt #<batchref> (patch (/.f64 (sqrt.f64 #s(approx (+ (* H -98/5) (* v v)) (*.f64 #s(literal -98/5 binary64) H))) v) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf H) (#s(alt #<batchref> (patch (sqrt.f64 #s(approx (+ (* H -98/5) (* v v)) (*.f64 #s(literal -98/5 binary64) H))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf H) (#s(alt #<batchref> (patch (sqrt.f64 #s(approx (+ (* H -98/5) (* v v)) (*.f64 #s(literal -98/5 binary64) H))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf H) (#s(alt #<batchref> (patch (sqrt.f64 #s(approx (+ (* H -98/5) (* v v)) (*.f64 #s(literal -98/5 binary64) H))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf H) (#s(alt #<batchref> (patch (sqrt.f64 #s(approx (+ (* H -98/5) (* v v)) (*.f64 #s(literal -98/5 binary64) H))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf H) (#s(alt #<batchref> (patch (pow.f64 (pow.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf H) (#s(alt #<batchref> (patch (pow.f64 (pow.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf H) (#s(alt #<batchref> (patch (pow.f64 (pow.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf H) (#s(alt #<batchref> (patch (pow.f64 (pow.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf H) (#s(alt #<batchref> (patch #s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (.f64 (pow.f64 (pow.f64 #s(approx (/ 1 (+ ( -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) v))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf H) (#s(alt #<batchref> (patch #s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (.f64 (pow.f64 (pow.f64 #s(approx (/ 1 (+ ( -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) v))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf H) (#s(alt #<batchref> (patch #s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (.f64 (pow.f64 (pow.f64 #s(approx (/ 1 (+ ( -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) v))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf H) (#s(alt #<batchref> (patch #s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (.f64 (pow.f64 (pow.f64 #s(approx (/ 1 (+ ( -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) v))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf H) (#s(alt #<batchref> (patch (atan.f64 (.f64 (pow.f64 (pow.f64 #s(approx (/ 1 (+ ( -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) v)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf H) (#s(alt #<batchref> (patch (atan.f64 (.f64 (pow.f64 (pow.f64 #s(approx (/ 1 (+ ( -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) v)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf H) (#s(alt #<batchref> (patch (atan.f64 (.f64 (pow.f64 (pow.f64 #s(approx (/ 1 (+ ( -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) v)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf H) (#s(alt #<batchref> (patch (atan.f64 (.f64 (pow.f64 (pow.f64 #s(approx (/ 1 (+ ( -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) v)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf H) (#s(alt #<batchref> (patch (.f64 (pow.f64 (pow.f64 #s(approx (/ 1 (+ ( -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) v) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf H) (#s(alt #<batchref> (patch (.f64 (pow.f64 (pow.f64 #s(approx (/ 1 (+ ( -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) v) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf H) (#s(alt #<batchref> (patch (.f64 (pow.f64 (pow.f64 #s(approx (/ 1 (+ ( -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) v) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf H) (#s(alt #<batchref> (patch (.f64 (pow.f64 (pow.f64 #s(approx (/ 1 (+ ( -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) v) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf H) (#s(alt #<batchref> (patch (/.f64 (.f64 (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (.f64 v v))) v) (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf H) (#s(alt #<batchref> (patch (/.f64 (.f64 (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (.f64 v v))) v) (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf H) (#s(alt #<batchref> (patch (/.f64 (.f64 (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (.f64 v v))) v) (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf H) (#s(alt #<batchref> (patch (/.f64 (.f64 (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (.f64 v v))) v) (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf H) (#s(alt #<batchref> (patch #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (*.f64 (/.f64 #s(literal -1 binary64) H) #s(literal 5/98 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf H) (#s(alt #<batchref> (patch #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (*.f64 (/.f64 #s(literal -1 binary64) H) #s(literal 5/98 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf H) (#s(alt #<batchref> (patch #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (*.f64 (/.f64 #s(literal -1 binary64) H) #s(literal 5/98 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf H) (#s(alt #<batchref> (patch #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (*.f64 (/.f64 #s(literal -1 binary64) H) #s(literal 5/98 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf H) (#s(alt #<batchref> (patch (sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (*.f64 (/.f64 #s(literal -1 binary64) H) #s(literal 5/98 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf H) (#s(alt #<batchref> (patch (sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (*.f64 (/.f64 #s(literal -1 binary64) H) #s(literal 5/98 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf H) (#s(alt #<batchref> (patch (sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (*.f64 (/.f64 #s(literal -1 binary64) H) #s(literal 5/98 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf H) (#s(alt #<batchref> (patch (sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (*.f64 (/.f64 #s(literal -1 binary64) H) #s(literal 5/98 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf H) (#s(alt #<batchref> (patch #s(approx (+ (* H -98/5) (* v v)) (*.f64 #s(literal -98/5 binary64) H)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf H) (#s(alt #<batchref> (patch #s(approx (+ (* H -98/5) (* v v)) (*.f64 #s(literal -98/5 binary64) H)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf H) (#s(alt #<batchref> (patch #s(approx (+ (* H -98/5) (* v v)) (*.f64 #s(literal -98/5 binary64) H)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf H) (#s(alt #<batchref> (patch #s(approx (+ (* H -98/5) (* v v)) (*.f64 #s(literal -98/5 binary64) H)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf H) (#s(alt #<batchref> (patch (*.f64 #s(literal -98/5 binary64) H) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf H) (#s(alt #<batchref> (patch (*.f64 #s(literal -98/5 binary64) H) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf H) (#s(alt #<batchref> (patch (*.f64 #s(literal -98/5 binary64) H) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf H) (#s(alt #<batchref> (patch (*.f64 #s(literal -98/5 binary64) H) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf H) (#s(alt #<batchref> (patch #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf H) (#s(alt #<batchref> (patch #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf H) (#s(alt #<batchref> (patch #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf H) (#s(alt #<batchref> (patch #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf H) (#s(alt #<batchref> (patch (pow.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H)) #s(literal 1/4 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf H) (#s(alt #<batchref> (patch (pow.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H)) #s(literal 1/4 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf H) (#s(alt #<batchref> (patch (pow.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H)) #s(literal 1/4 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf H) (#s(alt #<batchref> (patch (pow.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H)) #s(literal 1/4 binary64)) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
10.0ms	v	@	0	((atan (/ (* (sqrt (+ (* H -98/5) (* v v))) v) (+ (* H -98/5) (* v v)))) (* (sqrt (+ (* H -98/5) (* v v))) v) (sqrt (+ (* H -98/5) (* v v))) (+ (* H -98/5) (* v v)) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (+ (* -49/5 (/ H (* v v))) -1) (/ H (* v v)) (* (/ -1 H) 5/98) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v)) (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) (/ 1 (/ (sqrt (+ (* H -98/5) (* v v))) v)) (atan (/ 1 (/ (sqrt (+ (* H -98/5) (* v v))) v))) (/ (sqrt (+ (* H -98/5) (* v v))) v) (sqrt (+ (* H -98/5) (* v v))) (pow (pow (/ 1 (+ (* -98/5 H) (* v v))) 1/4) 2) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan (* (pow (pow (/ 1 (+ (* -98/5 H) (* v v))) 1/4) 2) v)) (* (pow (pow (/ 1 (+ (* -98/5 H) (* v v))) 1/4) 2) v) (/ (* (sqrt (+ (* H -98/5) (* v v))) v) (+ (* H -98/5) (* v v))) (/ 1 (+ (* -98/5 H) (* v v))) (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) (+ (* H -98/5) (* v v)) (* -98/5 H) (/ 1 (+ (* -98/5 H) (* v v))) (pow (/ 1 (+ (* -98/5 H) (* v v))) 1/4))
8.0ms	H	@	-inf	((atan (/ (* (sqrt (+ (* H -98/5) (* v v))) v) (+ (* H -98/5) (* v v)))) (* (sqrt (+ (* H -98/5) (* v v))) v) (sqrt (+ (* H -98/5) (* v v))) (+ (* H -98/5) (* v v)) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (+ (* -49/5 (/ H (* v v))) -1) (/ H (* v v)) (* (/ -1 H) 5/98) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v)) (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) (/ 1 (/ (sqrt (+ (* H -98/5) (* v v))) v)) (atan (/ 1 (/ (sqrt (+ (* H -98/5) (* v v))) v))) (/ (sqrt (+ (* H -98/5) (* v v))) v) (sqrt (+ (* H -98/5) (* v v))) (pow (pow (/ 1 (+ (* -98/5 H) (* v v))) 1/4) 2) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan (* (pow (pow (/ 1 (+ (* -98/5 H) (* v v))) 1/4) 2) v)) (* (pow (pow (/ 1 (+ (* -98/5 H) (* v v))) 1/4) 2) v) (/ (* (sqrt (+ (* H -98/5) (* v v))) v) (+ (* H -98/5) (* v v))) (/ 1 (+ (* -98/5 H) (* v v))) (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) (+ (* H -98/5) (* v v)) (* -98/5 H) (/ 1 (+ (* -98/5 H) (* v v))) (pow (/ 1 (+ (* -98/5 H) (* v v))) 1/4))
7.0ms	H	@	inf	((atan (/ (* (sqrt (+ (* H -98/5) (* v v))) v) (+ (* H -98/5) (* v v)))) (* (sqrt (+ (* H -98/5) (* v v))) v) (sqrt (+ (* H -98/5) (* v v))) (+ (* H -98/5) (* v v)) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (+ (* -49/5 (/ H (* v v))) -1) (/ H (* v v)) (* (/ -1 H) 5/98) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v)) (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) (/ 1 (/ (sqrt (+ (* H -98/5) (* v v))) v)) (atan (/ 1 (/ (sqrt (+ (* H -98/5) (* v v))) v))) (/ (sqrt (+ (* H -98/5) (* v v))) v) (sqrt (+ (* H -98/5) (* v v))) (pow (pow (/ 1 (+ (* -98/5 H) (* v v))) 1/4) 2) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan (* (pow (pow (/ 1 (+ (* -98/5 H) (* v v))) 1/4) 2) v)) (* (pow (pow (/ 1 (+ (* -98/5 H) (* v v))) 1/4) 2) v) (/ (* (sqrt (+ (* H -98/5) (* v v))) v) (+ (* H -98/5) (* v v))) (/ 1 (+ (* -98/5 H) (* v v))) (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) (+ (* H -98/5) (* v v)) (* -98/5 H) (/ 1 (+ (* -98/5 H) (* v v))) (pow (/ 1 (+ (* -98/5 H) (* v v))) 1/4))
4.0ms	v	@	-inf	((atan (/ (* (sqrt (+ (* H -98/5) (* v v))) v) (+ (* H -98/5) (* v v)))) (* (sqrt (+ (* H -98/5) (* v v))) v) (sqrt (+ (* H -98/5) (* v v))) (+ (* H -98/5) (* v v)) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (+ (* -49/5 (/ H (* v v))) -1) (/ H (* v v)) (* (/ -1 H) 5/98) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v)) (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) (/ 1 (/ (sqrt (+ (* H -98/5) (* v v))) v)) (atan (/ 1 (/ (sqrt (+ (* H -98/5) (* v v))) v))) (/ (sqrt (+ (* H -98/5) (* v v))) v) (sqrt (+ (* H -98/5) (* v v))) (pow (pow (/ 1 (+ (* -98/5 H) (* v v))) 1/4) 2) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan (* (pow (pow (/ 1 (+ (* -98/5 H) (* v v))) 1/4) 2) v)) (* (pow (pow (/ 1 (+ (* -98/5 H) (* v v))) 1/4) 2) v) (/ (* (sqrt (+ (* H -98/5) (* v v))) v) (+ (* H -98/5) (* v v))) (/ 1 (+ (* -98/5 H) (* v v))) (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) (+ (* H -98/5) (* v v)) (* -98/5 H) (/ 1 (+ (* -98/5 H) (* v v))) (pow (/ 1 (+ (* -98/5 H) (* v v))) 1/4))
3.0ms	v	@	inf	((atan (/ (* (sqrt (+ (* H -98/5) (* v v))) v) (+ (* H -98/5) (* v v)))) (* (sqrt (+ (* H -98/5) (* v v))) v) (sqrt (+ (* H -98/5) (* v v))) (+ (* H -98/5) (* v v)) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (+ (* -49/5 (/ H (* v v))) -1) (/ H (* v v)) (* (/ -1 H) 5/98) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v)) (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) (/ 1 (/ (sqrt (+ (* H -98/5) (* v v))) v)) (atan (/ 1 (/ (sqrt (+ (* H -98/5) (* v v))) v))) (/ (sqrt (+ (* H -98/5) (* v v))) v) (sqrt (+ (* H -98/5) (* v v))) (pow (pow (/ 1 (+ (* -98/5 H) (* v v))) 1/4) 2) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan (* (pow (pow (/ 1 (+ (* -98/5 H) (* v v))) 1/4) 2) v)) (* (pow (pow (/ 1 (+ (* -98/5 H) (* v v))) 1/4) 2) v) (/ (* (sqrt (+ (* H -98/5) (* v v))) v) (+ (* H -98/5) (* v v))) (/ 1 (+ (* -98/5 H) (* v v))) (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) (+ (* H -98/5) (* v v)) (* -98/5 H) (/ 1 (+ (* -98/5 H) (* v v))) (pow (/ 1 (+ (* -98/5 H) (* v v))) 1/4))

simplify246.0ms (3.2%)

Memory

18.4MiB live, 409.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	811	12142
1	2425	11721
2	7864	11663
0	8822	10921

Stop Event

1×	iter limit
1×	node limit

Counts

624 → 620

Calls

Call 1

Inputs
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(* (sqrt H) (* v (sqrt -98/5)))
(* v (+ (* 1/2 (* (sqrt (/ 1 H)) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt H) (sqrt -98/5))))
(* v (+ (* (sqrt H) (sqrt -98/5)) (* (pow v 2) (+ (* -1/8 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (pow (sqrt -98/5) 3)))) (* 1/2 (* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5))))))))
(* v (+ (* (sqrt H) (sqrt -98/5)) (* (pow v 2) (+ (* 1/2 (* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5)))) (* (pow v 2) (+ (* -1/8 (* (sqrt (/ 1 (pow H 3))) (/ 1 (pow (sqrt -98/5) 3)))) (* 1/16 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 2) (pow (sqrt -98/5) 5))))))))))
(* (sqrt H) (sqrt -98/5))
(+ (* 1/2 (* (sqrt (/ 1 H)) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt H) (sqrt -98/5)))
(+ (* (sqrt H) (sqrt -98/5)) (* (pow v 2) (+ (* -1/8 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (pow (sqrt -98/5) 3)))) (* 1/2 (* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5)))))))
(+ (* (sqrt H) (sqrt -98/5)) (* (pow v 2) (+ (* 1/2 (* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5)))) (* (pow v 2) (+ (* -1/8 (* (sqrt (/ 1 (pow H 3))) (/ 1 (pow (sqrt -98/5) 3)))) (* 1/16 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 2) (pow (sqrt -98/5) 5)))))))))
(* -98/5 H)
(+ (* -98/5 H) (pow v 2))
(+ (* -98/5 H) (pow v 2))
(+ (* -98/5 H) (pow v 2))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
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v
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1
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1
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(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(* (sqrt (/ 1 H)) (* v (sqrt -5/98)))
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(/ -5/98 H)
(/ (- (* -25/9604 (/ (pow v 2) H)) 5/98) H)
(/ (- (* -125/941192 (/ (pow v 4) (pow H 2))) (+ 5/98 (* 25/9604 (/ (pow v 2) H)))) H)
(/ (- (* -625/92236816 (/ (pow v 6) (pow H 3))) (+ 5/98 (+ (* 125/941192 (/ (pow v 4) (pow H 2))) (* 25/9604 (/ (pow v 2) H))))) H)
(* (sqrt (/ 1 H)) (sqrt -5/98))
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98)))
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(* -98/5 H)
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(* H (- (/ (pow v 2) H) 98/5))
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(* -98/5 H)
(* -98/5 H)
(* -98/5 H)
(* -98/5 H)
(/ -5/98 H)
(/ (- (* -25/9604 (/ (pow v 2) H)) 5/98) H)
(/ (- (* -125/941192 (/ (pow v 4) (pow H 2))) (+ 5/98 (* 25/9604 (/ (pow v 2) H)))) H)
(/ (- (* -625/92236816 (/ (pow v 6) (pow H 3))) (+ 5/98 (+ (* 125/941192 (/ (pow v 4) (pow H 2))) (* 25/9604 (/ (pow v 2) H))))) H)
(exp (* 1/4 (+ (log -5/98) (log (/ 1 H)))))
(+ (exp (* 1/4 (+ (log -5/98) (log (/ 1 H))))) (* 5/392 (/ (* (pow v 2) (exp (* 1/4 (+ (log -5/98) (log (/ 1 H)))))) H)))
(+ (exp (* 1/4 (+ (log -5/98) (log (/ 1 H))))) (+ (* 5/392 (/ (* (pow v 2) (exp (* 1/4 (+ (log -5/98) (log (/ 1 H)))))) H)) (/ (* (exp (* 1/4 (+ (log -5/98) (log (/ 1 H))))) (+ (* 25/307328 (pow v 4)) (* 1/8 (+ (* -25/9604 (pow v 4)) (* 25/4802 (pow v 4)))))) (pow H 2))))
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(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(* -1 (* (sqrt H) (* v (* (sqrt -1) (sqrt 98/5)))))
(* -1 (* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 98/5)))))))
(* -1 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 5) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 98/5))))))))
(* -1 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 5) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow H 7))) (/ (* (pow v 7) (sqrt -1)) (pow (sqrt 98/5) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 98/5)))))))))
(* -1 (* (sqrt H) (* (sqrt -1) (sqrt 98/5))))
(* -1 (* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5))))))
(* -1 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5)))))))
(* -1 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow H 7))) (/ (* (pow v 6) (sqrt -1)) (pow (sqrt 98/5) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5))))))))
(* -98/5 H)
(* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H)))))
(* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H)))))
(* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H)))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))
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(+ (* -1 (/ (+ (* 125/1882384 (* (sqrt H) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* 1/2 (* (sqrt (/ 1 H)) (/ (* v (* (sqrt -1) (+ (* -625/368947264 (/ (* H (pow v 4)) (pow (sqrt 5/98) 2))) (* 625/92236816 (pow v 6))))) (sqrt 5/98))))) (pow H 3))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))
(* -49/5 (/ H (pow v 2)))
(* -1 (* H (+ (/ 1 H) (* 49/5 (/ 1 (pow v 2))))))
(* -1 (* H (+ (/ 1 H) (* 49/5 (/ 1 (pow v 2))))))
(* -1 (* H (+ (/ 1 H) (* 49/5 (/ 1 (pow v 2))))))
(/ H (pow v 2))
(/ H (pow v 2))
(/ H (pow v 2))
(/ H (pow v 2))
(/ -5/98 H)
(/ -5/98 H)
(/ -5/98 H)
(/ -5/98 H)
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))
(+ (* -1 (/ (+ (* 125/1882384 (* (sqrt H) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* 1/2 (* (sqrt (/ 1 H)) (/ (* v (* (sqrt -1) (+ (* -625/368947264 (/ (* H (pow v 4)) (pow (sqrt 5/98) 2))) (* 625/92236816 (pow v 6))))) (sqrt 5/98))))) (pow H 3))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))
(* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))
(+ (* -1 (/ (+ (* 125/1882384 (* (sqrt H) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* 1/2 (* (sqrt (/ 1 H)) (/ (* v (* (sqrt -1) (+ (* -625/368947264 (/ (* H (pow v 4)) (pow (sqrt 5/98) 2))) (* 625/92236816 (pow v 6))))) (sqrt 5/98))))) (pow H 3))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(* -1 (* (sqrt H) (/ (* (sqrt -1) (sqrt 98/5)) v)))
(* -1 (* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* v (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (/ (* (sqrt -1) (sqrt 98/5)) v)))))
(* -1 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 3) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* v (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (/ (* (sqrt -1) (sqrt 98/5)) v))))))
(* -1 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 3) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow H 7))) (/ (* (pow v 5) (sqrt -1)) (pow (sqrt 98/5) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* v (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (/ (* (sqrt -1) (sqrt 98/5)) v)))))))
(* -1 (* (sqrt H) (* (sqrt -1) (sqrt 98/5))))
(* -1 (* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5))))))
(* -1 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5)))))))
(* -1 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow H 7))) (/ (* (pow v 6) (sqrt -1)) (pow (sqrt 98/5) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5))))))))
(* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98)))
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98))))
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98)))))
(+ (* -1 (/ (+ (* 125/1882384 (* (sqrt H) (/ (* (pow v 4) (sqrt -1)) (sqrt 5/98)))) (* 1/2 (* (sqrt (/ 1 H)) (/ (* (sqrt -1) (+ (* -625/368947264 (/ (* H (pow v 4)) (pow (sqrt 5/98) 2))) (* 625/92236816 (pow v 6)))) (sqrt 5/98))))) (pow H 3))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98)))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))
(+ (* -1 (/ (+ (* 125/1882384 (* (sqrt H) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* 1/2 (* (sqrt (/ 1 H)) (/ (* v (* (sqrt -1) (+ (* -625/368947264 (/ (* H (pow v 4)) (pow (sqrt 5/98) 2))) (* 625/92236816 (pow v 6))))) (sqrt 5/98))))) (pow H 3))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))
(* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))
(+ (* -1 (/ (+ (* 125/1882384 (* (sqrt H) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* 1/2 (* (sqrt (/ 1 H)) (/ (* v (* (sqrt -1) (+ (* -625/368947264 (/ (* H (pow v 4)) (pow (sqrt 5/98) 2))) (* 625/92236816 (pow v 6))))) (sqrt 5/98))))) (pow H 3))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))
(/ -5/98 H)
(* -1 (/ (+ 5/98 (* 25/9604 (/ (pow v 2) H))) H))
(* -1 (/ (+ 5/98 (* -1 (/ (- (* -125/941192 (/ (pow v 4) H)) (* 25/9604 (pow v 2))) H))) H))
(* -1 (/ (+ 5/98 (* -1 (/ (- (* -1 (/ (- (* 625/92236816 (/ (pow v 6) H)) (* -125/941192 (pow v 4))) H)) (* 25/9604 (pow v 2))) H))) H))
(* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98)))
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98))))
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98)))))
(+ (* -1 (/ (+ (* 125/1882384 (* (sqrt H) (/ (* (pow v 4) (sqrt -1)) (sqrt 5/98)))) (* 1/2 (* (sqrt (/ 1 H)) (/ (* (sqrt -1) (+ (* -625/368947264 (/ (* H (pow v 4)) (pow (sqrt 5/98) 2))) (* 625/92236816 (pow v 6)))) (sqrt 5/98))))) (pow H 3))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98)))))
(* -98/5 H)
(* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H)))))
(* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H)))))
(* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H)))))
(* -98/5 H)
(* -98/5 H)
(* -98/5 H)
(* -98/5 H)
(/ -5/98 H)
(* -1 (/ (+ 5/98 (* 25/9604 (/ (pow v 2) H))) H))
(* -1 (/ (+ 5/98 (* -1 (/ (- (* -125/941192 (/ (pow v 4) H)) (* 25/9604 (pow v 2))) H))) H))
(* -1 (/ (+ 5/98 (* -1 (/ (- (* -1 (/ (- (* 625/92236816 (/ (pow v 6) H)) (* -125/941192 (pow v 4))) H)) (* 25/9604 (pow v 2))) H))) H))
(exp (* 1/4 (+ (log 5/98) (log (/ -1 H)))))
(+ (exp (* 1/4 (+ (log 5/98) (log (/ -1 H))))) (* 5/392 (/ (* (pow v 2) (exp (* 1/4 (+ (log 5/98) (log (/ -1 H)))))) H)))
(+ (exp (* 1/4 (+ (log 5/98) (log (/ -1 H))))) (* -1 (/ (+ (* -1 (/ (* (exp (* 1/4 (+ (log 5/98) (log (/ -1 H))))) (+ (* 25/307328 (pow v 4)) (* 1/8 (+ (* -25/9604 (pow v 4)) (* 25/4802 (pow v 4)))))) H)) (* -5/392 (* (pow v 2) (exp (* 1/4 (+ (log 5/98) (log (/ -1 H)))))))) H)))
(+ (exp (* 1/4 (+ (log 5/98) (log (/ -1 H))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* 1/4 (+ (log 5/98) (log (/ -1 H))))) (+ (* -5/3136 (* (pow v 2) (+ (* -25/9604 (pow v 4)) (* 25/4802 (pow v 4))))) (+ (* -125/361417728 (pow v 6)) (* 1/24 (+ (* -375/470596 (pow v 6)) (+ (* -125/470596 (pow v 6)) (* 375/470596 (pow v 6)))))))) H)) (* (exp (* 1/4 (+ (log 5/98) (log (/ -1 H))))) (+ (* 25/307328 (pow v 4)) (* 1/8 (+ (* -25/9604 (pow v 4)) (* 25/4802 (pow v 4))))))) H)) (* -5/392 (* (pow v 2) (exp (* 1/4 (+ (log 5/98) (log (/ -1 H)))))))) H)))

Outputs
(atan.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (.f64 v v)))) v))
(atan.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (.f64 v v)))) v))
(atan.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (.f64 v v)))) v))
(atan.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (.f64 v v)))) v))
(.f64 (.f64 v (sqrt.f64 H)) (sqrt.f64 #s(literal -98/5 binary64)))
(.f64 (fma.f64 (.f64 (.f64 v (/.f64 v (sqrt.f64 #s(literal -98/5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) H))) #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal -98/5 binary64)) (sqrt.f64 H))) v)
(.f64 (fma.f64 (fma.f64 #s(literal 5/784 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (.f64 v (/.f64 v (sqrt.f64 #s(literal -98/5 binary64))))) (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -98/5 binary64))) #s(literal 1/2 binary64))) (.f64 v v) (.f64 (sqrt.f64 #s(literal -98/5 binary64)) (sqrt.f64 H))) v)
(fma.f64 (pow.f64 v #s(literal 3 binary64)) (fma.f64 (fma.f64 (.f64 (.f64 v (/.f64 v (pow.f64 (sqrt.f64 #s(literal -98/5 binary64)) #s(literal 5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64))))) #s(literal 1/16 binary64) (.f64 #s(literal 5/784 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (sqrt.f64 #s(literal -98/5 binary64))))) (.f64 v v) (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -98/5 binary64))) #s(literal 1/2 binary64))) (.f64 (*.f64 v (sqrt.f64 H)) (sqrt.f64 #s(literal -98/5 binary64))))
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(.f64 (neg.f64 H) (fma.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 6 binary64))) (pow.f64 (sqrt.f64 #s(literal 98/5 binary64)) #s(literal 5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 7 binary64)))) (fma.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) v) v) (sqrt.f64 #s(literal 98/5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal 98/5 binary64))) (sqrt.f64 #s(literal -1 binary64)) (.f64 #s(literal -5/784 binary64) (/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64)))) (pow.f64 v #s(literal 4 binary64))) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 98/5 binary64))))))))
(.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal 5/98 binary64))) (sqrt.f64 #s(literal -1 binary64)))
(fma.f64 (.f64 #s(literal -25/19208 binary64) (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) v) v) (sqrt.f64 #s(literal 5/98 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal 5/98 binary64))) (sqrt.f64 #s(literal -1 binary64))))
(fma.f64 (.f64 #s(literal -25/19208 binary64) (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) v) v) (sqrt.f64 #s(literal 5/98 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (fma.f64 (.f64 #s(literal -125/1882384 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 4 binary64))) (sqrt.f64 #s(literal 5/98 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64)))) (.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal 5/98 binary64))) (sqrt.f64 #s(literal -1 binary64)))))
(fma.f64 (.f64 #s(literal -25/19208 binary64) (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) v) v) (sqrt.f64 #s(literal 5/98 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal 5/98 binary64))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (fma.f64 (/.f64 (.f64 (pow.f64 v #s(literal 4 binary64)) H) #s(literal 5/98 binary64)) #s(literal -625/368947264 binary64) (.f64 (pow.f64 v #s(literal 6 binary64)) #s(literal 625/92236816 binary64))) (sqrt.f64 #s(literal 5/98 binary64)))) #s(literal 1/2 binary64) (.f64 (.f64 #s(literal 125/1882384 binary64) (sqrt.f64 H)) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 4 binary64))) (sqrt.f64 #s(literal 5/98 binary64))))) (neg.f64 (pow.f64 H #s(literal 3 binary64))))))
(atan.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (.f64 v v)))) v))
(atan.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (.f64 v v)))) v))
(atan.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (.f64 v v)))) v))
(atan.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (.f64 v v)))) v))
(atan.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (.f64 v v)))) v))
(atan.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (.f64 v v)))) v))
(atan.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (.f64 v v)))) v))
(atan.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (.f64 v v)))) v))
(.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) v)) (sqrt.f64 #s(literal 5/98 binary64)))
(fma.f64 (.f64 #s(literal -25/19208 binary64) (/.f64 (.f64 (pow.f64 v #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 5/98 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) v)) (sqrt.f64 #s(literal 5/98 binary64))))
(fma.f64 (.f64 #s(literal -25/19208 binary64) (/.f64 (.f64 (pow.f64 v #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 5/98 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (fma.f64 (.f64 #s(literal -125/1882384 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 5 binary64))) (sqrt.f64 #s(literal 5/98 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64)))) (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) v)) (sqrt.f64 #s(literal 5/98 binary64)))))
(fma.f64 (.f64 #s(literal -25/19208 binary64) (/.f64 (.f64 (pow.f64 v #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 5/98 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (.f64 (sqrt.f64 #s(literal -1 binary64)) v)) (sqrt.f64 #s(literal 5/98 binary64)) (/.f64 (fma.f64 (.f64 (.f64 (.f64 (fma.f64 (/.f64 (.f64 (pow.f64 v #s(literal 4 binary64)) H) #s(literal 5/98 binary64)) #s(literal -625/368947264 binary64) (.f64 (pow.f64 v #s(literal 6 binary64)) #s(literal 625/92236816 binary64))) (sqrt.f64 #s(literal -1 binary64))) (/.f64 v (sqrt.f64 #s(literal 5/98 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) H))) #s(literal 1/2 binary64) (.f64 (.f64 #s(literal 125/1882384 binary64) (sqrt.f64 H)) (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 5 binary64))) (sqrt.f64 #s(literal 5/98 binary64))))) (neg.f64 (pow.f64 H #s(literal 3 binary64))))))
(.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) v)) (sqrt.f64 #s(literal 5/98 binary64)))
(fma.f64 (.f64 #s(literal -25/19208 binary64) (/.f64 (.f64 (pow.f64 v #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 5/98 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) v)) (sqrt.f64 #s(literal 5/98 binary64))))
(fma.f64 (.f64 #s(literal -25/19208 binary64) (/.f64 (.f64 (pow.f64 v #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 5/98 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (fma.f64 (.f64 #s(literal -125/1882384 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 5 binary64))) (sqrt.f64 #s(literal 5/98 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64)))) (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) v)) (sqrt.f64 #s(literal 5/98 binary64)))))
(fma.f64 (.f64 #s(literal -25/19208 binary64) (/.f64 (.f64 (pow.f64 v #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 5/98 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (.f64 (sqrt.f64 #s(literal -1 binary64)) v)) (sqrt.f64 #s(literal 5/98 binary64)) (/.f64 (fma.f64 (.f64 (.f64 (.f64 (fma.f64 (/.f64 (.f64 (pow.f64 v #s(literal 4 binary64)) H) #s(literal 5/98 binary64)) #s(literal -625/368947264 binary64) (.f64 (pow.f64 v #s(literal 6 binary64)) #s(literal 625/92236816 binary64))) (sqrt.f64 #s(literal -1 binary64))) (/.f64 v (sqrt.f64 #s(literal 5/98 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) H))) #s(literal 1/2 binary64) (.f64 (.f64 #s(literal 125/1882384 binary64) (sqrt.f64 H)) (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 5 binary64))) (sqrt.f64 #s(literal 5/98 binary64))))) (neg.f64 (pow.f64 H #s(literal 3 binary64))))))
(/.f64 #s(literal -5/98 binary64) H)
(/.f64 (fma.f64 (/.f64 (*.f64 v v) H) #s(literal -25/9604 binary64) #s(literal -5/98 binary64)) H)
(/.f64 (-.f64 #s(literal 5/98 binary64) (/.f64 (fma.f64 #s(literal -25/9604 binary64) (.f64 v v) (.f64 (/.f64 (pow.f64 v #s(literal 4 binary64)) H) #s(literal -125/941192 binary64))) H)) (neg.f64 H))
(/.f64 (-.f64 #s(literal 5/98 binary64) (/.f64 (fma.f64 (.f64 #s(literal -25/9604 binary64) v) v (/.f64 (fma.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal 125/941192 binary64) (.f64 (/.f64 (pow.f64 v #s(literal 6 binary64)) H) #s(literal 625/92236816 binary64))) (neg.f64 H))) H)) (neg.f64 H))
(.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal 5/98 binary64))) (sqrt.f64 #s(literal -1 binary64)))
(fma.f64 (.f64 #s(literal -25/19208 binary64) (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) v) v) (sqrt.f64 #s(literal 5/98 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal 5/98 binary64))) (sqrt.f64 #s(literal -1 binary64))))
(fma.f64 (.f64 #s(literal -25/19208 binary64) (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) v) v) (sqrt.f64 #s(literal 5/98 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (fma.f64 (.f64 #s(literal -125/1882384 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 4 binary64))) (sqrt.f64 #s(literal 5/98 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64)))) (.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal 5/98 binary64))) (sqrt.f64 #s(literal -1 binary64)))))
(fma.f64 (.f64 #s(literal -25/19208 binary64) (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) v) v) (sqrt.f64 #s(literal 5/98 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal 5/98 binary64))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (fma.f64 (/.f64 (.f64 (pow.f64 v #s(literal 4 binary64)) H) #s(literal 5/98 binary64)) #s(literal -625/368947264 binary64) (.f64 (pow.f64 v #s(literal 6 binary64)) #s(literal 625/92236816 binary64))) (sqrt.f64 #s(literal 5/98 binary64)))) #s(literal 1/2 binary64) (.f64 (.f64 #s(literal 125/1882384 binary64) (sqrt.f64 H)) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 4 binary64))) (sqrt.f64 #s(literal 5/98 binary64))))) (neg.f64 (pow.f64 H #s(literal 3 binary64))))))
(*.f64 #s(literal -98/5 binary64) H)
(.f64 (neg.f64 H) (-.f64 #s(literal 98/5 binary64) (/.f64 (.f64 v v) H)))
(.f64 (neg.f64 H) (-.f64 #s(literal 98/5 binary64) (/.f64 (.f64 v v) H)))
(.f64 (neg.f64 H) (-.f64 #s(literal 98/5 binary64) (/.f64 (.f64 v v) H)))
(*.f64 #s(literal -98/5 binary64) H)
(*.f64 #s(literal -98/5 binary64) H)
(*.f64 #s(literal -98/5 binary64) H)
(*.f64 #s(literal -98/5 binary64) H)
(/.f64 #s(literal -5/98 binary64) H)
(/.f64 (fma.f64 (/.f64 (*.f64 v v) H) #s(literal -25/9604 binary64) #s(literal -5/98 binary64)) H)
(/.f64 (-.f64 #s(literal 5/98 binary64) (/.f64 (fma.f64 #s(literal -25/9604 binary64) (.f64 v v) (.f64 (/.f64 (pow.f64 v #s(literal 4 binary64)) H) #s(literal -125/941192 binary64))) H)) (neg.f64 H))
(/.f64 (-.f64 #s(literal 5/98 binary64) (/.f64 (fma.f64 (.f64 #s(literal -25/9604 binary64) v) v (/.f64 (fma.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal 125/941192 binary64) (.f64 (/.f64 (pow.f64 v #s(literal 6 binary64)) H) #s(literal 625/92236816 binary64))) (neg.f64 H))) H)) (neg.f64 H))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) H) #s(literal 1/4 binary64)) (pow.f64 #s(literal 5/98 binary64) #s(literal 1/4 binary64)))
(fma.f64 (.f64 (.f64 (pow.f64 (/.f64 #s(literal -1 binary64) H) #s(literal 1/4 binary64)) (pow.f64 #s(literal 5/98 binary64) #s(literal 1/4 binary64))) (/.f64 (.f64 v v) H)) #s(literal 5/392 binary64) (.f64 (pow.f64 (/.f64 #s(literal -1 binary64) H) #s(literal 1/4 binary64)) (pow.f64 #s(literal 5/98 binary64) #s(literal 1/4 binary64))))
(fma.f64 (pow.f64 (/.f64 #s(literal -1 binary64) H) #s(literal 1/4 binary64)) (pow.f64 #s(literal 5/98 binary64) #s(literal 1/4 binary64)) (/.f64 (fma.f64 (.f64 #s(literal -5/392 binary64) (.f64 v v)) (.f64 (pow.f64 (/.f64 #s(literal -1 binary64) H) #s(literal 1/4 binary64)) (pow.f64 #s(literal 5/98 binary64) #s(literal 1/4 binary64))) (/.f64 (.f64 (.f64 (pow.f64 (/.f64 #s(literal -1 binary64) H) #s(literal 1/4 binary64)) (pow.f64 #s(literal 5/98 binary64) #s(literal 1/4 binary64))) (fma.f64 #s(literal 25/307328 binary64) (pow.f64 v #s(literal 4 binary64)) (.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal 25/76832 binary64)))) (neg.f64 H))) (neg.f64 H)))
(fma.f64 (pow.f64 (/.f64 #s(literal -1 binary64) H) #s(literal 1/4 binary64)) (pow.f64 #s(literal 5/98 binary64) #s(literal 1/4 binary64)) (/.f64 (fma.f64 (.f64 #s(literal -5/392 binary64) (.f64 (pow.f64 (/.f64 #s(literal -1 binary64) H) #s(literal 1/4 binary64)) (pow.f64 #s(literal 5/98 binary64) #s(literal 1/4 binary64)))) (.f64 v v) (/.f64 (fma.f64 (neg.f64 (.f64 (pow.f64 (/.f64 #s(literal -1 binary64) H) #s(literal 1/4 binary64)) (pow.f64 #s(literal 5/98 binary64) #s(literal 1/4 binary64)))) (/.f64 (fma.f64 (.f64 #s(literal -5/3136 binary64) (.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal 25/9604 binary64))) (.f64 v v) (fma.f64 (.f64 #s(literal -125/470596 binary64) (pow.f64 v #s(literal 6 binary64))) #s(literal 1/24 binary64) (.f64 #s(literal -125/361417728 binary64) (pow.f64 v #s(literal 6 binary64))))) H) (.f64 (.f64 (pow.f64 (/.f64 #s(literal -1 binary64) H) #s(literal 1/4 binary64)) (pow.f64 #s(literal 5/98 binary64) #s(literal 1/4 binary64))) (fma.f64 #s(literal 25/307328 binary64) (pow.f64 v #s(literal 4 binary64)) (.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal 25/76832 binary64))))) (neg.f64 H))) (neg.f64 H)))

rewrite166.0ms (2.1%)

Memory

23.5MiB live, 328.5MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	54	395
0	80	356
1	234	352
2	1066	338
0	8965	338

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

27 → 576

Calls

Call 1

Inputs
(atan.f64 (/.f64 (.f64 (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (.f64 v v))) v) (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v))))
(.f64 (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (.f64 v v))) v)
(sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v)))
(fma.f64 H #s(literal -98/5 binary64) (*.f64 v v))
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64)))
(fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64))
(/.f64 H (*.f64 v v))
(*.f64 (/.f64 #s(literal -1 binary64) H) #s(literal 5/98 binary64))
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (.f64 (sqrt.f64 #s(approx (/ 1 (+ ( -98/5 H) (* v v))) (*.f64 (/.f64 #s(literal -1 binary64) H) #s(literal 5/98 binary64)))) v)))
(atan.f64 (.f64 (sqrt.f64 #s(approx (/ 1 (+ ( -98/5 H) (* v v))) (*.f64 (/.f64 #s(literal -1 binary64) H) #s(literal 5/98 binary64)))) v))
(.f64 (sqrt.f64 #s(approx (/ 1 (+ ( -98/5 H) (* v v))) (*.f64 (/.f64 #s(literal -1 binary64) H) #s(literal 5/98 binary64)))) v)
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(approx (+ (* H -98/5) (* v v)) (*.f64 #s(literal -98/5 binary64) H))) v))
(atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(approx (+ (* H -98/5) (* v v)) (*.f64 #s(literal -98/5 binary64) H))) v)))
(/.f64 (sqrt.f64 #s(approx (+ (* H -98/5) (* v v)) (*.f64 #s(literal -98/5 binary64) H))) v)
(sqrt.f64 #s(approx (+ (* H -98/5) (* v v)) (*.f64 #s(literal -98/5 binary64) H)))
(pow.f64 (pow.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (.f64 (pow.f64 (pow.f64 #s(approx (/ 1 (+ ( -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) v)))
(atan.f64 (.f64 (pow.f64 (pow.f64 #s(approx (/ 1 (+ ( -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) v))
(.f64 (pow.f64 (pow.f64 #s(approx (/ 1 (+ ( -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) v)
(/.f64 (.f64 (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (.f64 v v))) v) (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v)))
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) (*.f64 (/.f64 #s(literal -1 binary64) H) #s(literal 5/98 binary64)))
(sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (*.f64 (/.f64 #s(literal -1 binary64) H) #s(literal 5/98 binary64))))
#s(approx (+ (* H -98/5) (* v v)) (*.f64 #s(literal -98/5 binary64) H))
(*.f64 #s(literal -98/5 binary64) H)
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H))
(pow.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H)) #s(literal 1/4 binary64))

Outputs
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eval206.0ms (2.7%)

Memory: -3.7MiB live, 584.9MiB allocated
Compiler: Compiled 46 320 to 4 224 computations (90.9% saved)

prune41.0ms (0.5%)

Memory

-10.2MiB live, 154.3MiB allocated

Pruning

17 alts after pruning (6 fresh and 11 done)

	Pruned	Kept	Total
New	1 297	3	1 300
Fresh	0	3	3
Picked	1	4	5
Done	0	7	7
Total	1 298	17	1 315

Accuracy

100.0%

Counts

1 315 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	39.9%	(atan.f64 (/.f64 (.f64 (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (.f64 v v))) v) #s(approx (+ (* H -98/5) (* v v)) (*.f64 #s(literal -98/5 binary64) H))))
✓	71.8%	(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)))))
	42.3%	(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))))
✓	35.2%	(atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 (/.f64 #s(literal -49/5 binary64) v) H v))))
✓	42.1%	(atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(approx (+ (* H -98/5) (* v v)) (*.f64 #s(literal -98/5 binary64) H))) v)))
	40.7%	(atan.f64 (.f64 #s(approx (/ v (+ ( H -98/5) (* v v))) (.f64 (/.f64 v H) #s(literal -5/98 binary64))) (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (.f64 v v)))))
✓	30.3%	(atan.f64 #s(approx (/ (- (* 0 (neg (sqrt (+ (* -98/5 H) (* v v))))) (* (neg (sqrt (+ (* -98/5 H) (* v v)))) v)) (+ (* -98/5 H) (* v v))) #s(literal 1 binary64)))
✓	30.7%	(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64))))
✓	35.6%	(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64))))
	22.4%	(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(approx (+ (* -49/5 (/ H (* v v))) -1) (/.f64 (fma.f64 (neg.f64 v) v (.f64 #s(literal -49/5 binary64) H)) (.f64 v v)))))
✓	35.6%	(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64)))
✓	42.6%	#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (.f64 (pow.f64 (pow.f64 #s(approx (/ 1 (+ ( -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) v)))
	42.5%	#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (.f64 (pow.f64 #s(approx (pow (/ 1 (+ ( -98/5 H) (* v v))) 1/4) (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) H) #s(literal 1/4 binary64)) (pow.f64 #s(literal 5/98 binary64) #s(literal 1/4 binary64)))) #s(literal 2 binary64)) v)))
✓	71.8%	#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (.f64 v v)))) v)))
	42.3%	#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ ( -98/5 H) (* v v)) (*.f64 #s(literal -98/5 binary64) H)))) v)))
✓	42.7%	#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (.f64 (sqrt.f64 #s(approx (/ 1 (+ ( -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H))) v)))
✓	42.8%	#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (.f64 (sqrt.f64 #s(approx (/ 1 (+ ( -98/5 H) (* v v))) (*.f64 (/.f64 #s(literal -1 binary64) H) #s(literal 5/98 binary64)))) v)))

Compiler

Compiled 1 123 to 506 computations (54.9% saved)

regimes43.0ms (0.6%)

Memory

30.7MiB live, 109.5MiB allocated

Counts

29 → 3

Calls

Call 1

Inputs
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64)))
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64)))
(atan.f64 #s(approx (/ (- (* 0 (neg (sqrt (+ (* -98/5 H) (* v v))))) (* (neg (sqrt (+ (* -98/5 H) (* v v)))) v)) (+ (* -98/5 H) (* v v))) #s(literal 1 binary64)))
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64))))
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64))))
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (.f64 (sqrt.f64 #s(approx (/ 1 (+ ( -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H))) v)))
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))))
(atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 (/.f64 #s(literal -49/5 binary64) v) H v))))
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(approx (+ (* -49/5 (/ H (* v v))) -1) (/.f64 (fma.f64 (neg.f64 v) v (.f64 #s(literal -49/5 binary64) H)) (.f64 v v)))))
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (.f64 (sqrt.f64 #s(approx (/ 1 (+ ( -98/5 H) (* v v))) (*.f64 (/.f64 #s(literal -1 binary64) H) #s(literal 5/98 binary64)))) v)))
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ ( -98/5 H) (* v v)) (*.f64 #s(literal -98/5 binary64) H)))) v)))
(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)))))
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (.f64 v v)))) v)))
(atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(approx (+ (* H -98/5) (* v v)) (*.f64 #s(literal -98/5 binary64) H))) v)))
(atan.f64 (/.f64 v (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))))
(atan.f64 (.f64 #s(approx (/ v (+ ( H -98/5) (* v v))) (.f64 (/.f64 v H) #s(literal -5/98 binary64))) (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (.f64 v v)))))
(atan.f64 (/.f64 (.f64 (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (.f64 v v))) v) #s(approx (+ (* H -98/5) (* v v)) (*.f64 #s(literal -98/5 binary64) H))))
(atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) v)))
(atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v))) v)))
(atan.f64 (.f64 (/.f64 v (fma.f64 H #s(literal -98/5 binary64) (.f64 v v))) (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v)))))
(atan.f64 (/.f64 (.f64 (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (.f64 v v))) v) (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v))))
(atan.f64 (/.f64 v (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))))))
(atan.f64 (/.f64 (-.f64 (.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (.f64 v v))))) (.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (.f64 v v)))) v)) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))))
(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 (.f64 v v) (/.f64 (.f64 v v) (fma.f64 H #s(literal 98/5 binary64) (.f64 v v))) (neg.f64 (.f64 (.f64 #s(literal 9604/25 binary64) H) (/.f64 H (fma.f64 H #s(literal 98/5 binary64) (.f64 v v)))))))))
(atan.f64 (/.f64 (-.f64 (.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (.f64 v v)))) (.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (.f64 v v)))) (neg.f64 v))) (.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (.f64 v v)))) (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))))))
(atan.f64 (/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (.f64 v v)))) v)) (.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (.f64 v v)))) #s(literal 1 binary64))) (.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (.f64 v v)))) (/.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v))))
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (.f64 (pow.f64 (pow.f64 #s(approx (/ 1 (+ ( -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) v)))
(atan.f64 (pow.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) v) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (.f64 (pow.f64 #s(approx (pow (/ 1 (+ ( -98/5 H) (* v v))) 1/4) (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) H) #s(literal 1/4 binary64)) (pow.f64 #s(literal 5/98 binary64) #s(literal 1/4 binary64)))) #s(literal 2 binary64)) v)))

Outputs

(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64)))

(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)))))

(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64)))

Calls

5 calls:

9.0ms	H
8.0ms	(.f64 (.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)
8.0ms	v
8.0ms	(/.f64 v (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))
7.0ms	(atan.f64 (/.f64 v (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))))

Results

Accuracy	Segments	Branch
99.5%	3	`v`
71.8%	1	`H`
86.8%	3	`(atan.f64 (/.f64 v (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))))`
86.8%	3	`(/.f64 v (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))`
71.8%	1	`(.f64 (.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)`

Compiler

Compiled 32 to 31 computations (3.1% saved)

regimes81.0ms (1.1%)

Memory

-66.5MiB live, 11.9MiB allocated

Counts

11 → 3

Calls

Call 1

Inputs
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64)))
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64)))
(atan.f64 #s(approx (/ (- (* 0 (neg (sqrt (+ (* -98/5 H) (* v v))))) (* (neg (sqrt (+ (* -98/5 H) (* v v)))) v)) (+ (* -98/5 H) (* v v))) #s(literal 1 binary64)))
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64))))
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64))))
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (.f64 (sqrt.f64 #s(approx (/ 1 (+ ( -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H))) v)))
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))))
(atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 (/.f64 #s(literal -49/5 binary64) v) H v))))
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(approx (+ (* -49/5 (/ H (* v v))) -1) (/.f64 (fma.f64 (neg.f64 v) v (.f64 #s(literal -49/5 binary64) H)) (.f64 v v)))))
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (.f64 (sqrt.f64 #s(approx (/ 1 (+ ( -98/5 H) (* v v))) (*.f64 (/.f64 #s(literal -1 binary64) H) #s(literal 5/98 binary64)))) v)))
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ ( -98/5 H) (* v v)) (*.f64 #s(literal -98/5 binary64) H)))) v)))

Outputs

(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64)))

#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (*.f64 (/.f64 #s(literal -1 binary64) H) #s(literal 5/98 binary64)))) v)))

(atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 (/.f64 #s(literal -49/5 binary64) v) H v))))

Calls

1 calls:

81.0ms

Results

Accuracy	Segments	Branch
89.8%	3	`v`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes4.0ms (0.1%)

Memory

9.9MiB live, 9.9MiB allocated

Counts

9 → 3

Calls

Call 1

Inputs
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64)))
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64)))
(atan.f64 #s(approx (/ (- (* 0 (neg (sqrt (+ (* -98/5 H) (* v v))))) (* (neg (sqrt (+ (* -98/5 H) (* v v)))) v)) (+ (* -98/5 H) (* v v))) #s(literal 1 binary64)))
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64))))
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64))))
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (.f64 (sqrt.f64 #s(approx (/ 1 (+ ( -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H))) v)))
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))))
(atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 (/.f64 #s(literal -49/5 binary64) v) H v))))
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(approx (+ (* -49/5 (/ H (* v v))) -1) (/.f64 (fma.f64 (neg.f64 v) v (.f64 #s(literal -49/5 binary64) H)) (.f64 v v)))))

Outputs

(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64)))

#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H))) v)))

(atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 (/.f64 #s(literal -49/5 binary64) v) H v))))

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
89.8%	3	`v`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes3.0ms (0%)

Memory

8.1MiB live, 8.1MiB allocated

Counts

7 → 3

Calls

Call 1

Inputs
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64)))
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64)))
(atan.f64 #s(approx (/ (- (* 0 (neg (sqrt (+ (* -98/5 H) (* v v))))) (* (neg (sqrt (+ (* -98/5 H) (* v v)))) v)) (+ (* -98/5 H) (* v v))) #s(literal 1 binary64)))
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64))))
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64))))
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (.f64 (sqrt.f64 #s(approx (/ 1 (+ ( -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H))) v)))
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))))

Outputs

(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64)))

#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H))) v)))

(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64))))

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
89.8%	3	`v`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes37.0ms (0.5%)

Memory

-5.6MiB live, 34.3MiB allocated

Counts

5 → 2

Calls

Call 1

Inputs
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64)))
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64)))
(atan.f64 #s(approx (/ (- (* 0 (neg (sqrt (+ (* -98/5 H) (* v v))))) (* (neg (sqrt (+ (* -98/5 H) (* v v)))) v)) (+ (* -98/5 H) (* v v))) #s(literal 1 binary64)))
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64))))
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64))))

Outputs
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64)))
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64)))

Calls

5 calls:

27.0ms	(.f64 (.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)
2.0ms	v
2.0ms	H
2.0ms	(/.f64 v (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))
2.0ms	(atan.f64 (/.f64 v (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))))

Results

Accuracy	Segments	Branch
42.2%	3	`H`
42.2%	3	`(.f64 (.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)`
51.4%	2	`(atan.f64 (/.f64 v (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))))`
51.4%	2	`(/.f64 v (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))`
64.1%	2	`v`

Compiler

Compiled 32 to 31 computations (3.1% saved)

regimes7.0ms (0.1%)

Memory

23.5MiB live, 23.5MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64)))

Outputs
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64)))

Calls

5 calls:

1.0ms	v
1.0ms	(.f64 (.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)
1.0ms	H
1.0ms	(atan.f64 (/.f64 v (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))))
1.0ms	(/.f64 v (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))

Results

Accuracy	Segments	Branch
35.6%	1	`H`
35.6%	1	`(.f64 (.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)`
35.6%	1	`(atan.f64 (/.f64 v (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))))`
35.6%	1	`(/.f64 v (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))`
35.6%	1	`v`

Compiler

Compiled 32 to 31 computations (3.1% saved)

bsearch26.0ms (0.3%)

Memory

-25.9MiB live, 50.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	predicate-same
1×	predicate-same

Steps

Time	Left	Right
11.0ms	1.501321289642739e+151	4.136827817850946e+153
11.0ms	-4.772285741799044e+154	-5.8773717638991275e+153

Samples

16.0ms

144×

valid

Compiler

Compiled 241 to 223 computations (7.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

const: 5.0ms (40.1% of total)

ival-mult: 3.0ms (24.1% of total)

ival-atan: 2.0ms (16% of total)

ival-div: 1.0ms (8% of total)

ival-sub: 1.0ms (8% of total)

ival-sqrt: 1.0ms (8% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

bsearch46.0ms (0.6%)

Memory

18.7MiB live, 100.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
21.0ms	5.683780685246899e+22	1.3429900112199113e+28
21.0ms	-1.495747452129061e-13	-2.3717050956545934e-18

Samples

25.0ms	272×	0	valid
2.0ms	26×	0	invalid

Compiler

Compiled 877 to 714 computations (18.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

ival-mult: 6.0ms (31.1% of total)

const: 4.0ms (20.7% of total)

ival-atan: 3.0ms (15.5% of total)

ival-div: 2.0ms (10.4% of total)

ival-sqrt: 2.0ms (10.4% of total)

ival-sub: 1.0ms (5.2% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

bsearch3.0ms (0%)

Memory

6.6MiB live, 6.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	5.683780685246899e+22	1.3429900112199113e+28
1.0ms	-1.495747452129061e-13	-2.3717050956545934e-18

Compiler

Compiled 843 to 680 computations (19.3% saved)

bsearch5.0ms (0.1%)

Memory

-32.2MiB live, 6.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
3.0ms	5.683780685246899e+22	1.3429900112199113e+28
1.0ms	-1.495747452129061e-13	-2.3717050956545934e-18

Compiler

Compiled 861 to 698 computations (18.9% saved)

bsearch17.0ms (0.2%)

Memory

31.7MiB live, 31.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
15.0ms	4.0927807993162265e-305	3.095125909174271e-304

Samples

8.0ms	96×	0	valid
3.0ms	36×	0	invalid

Compiler

Compiled 196 to 184 computations (6.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-mult: 3.0ms (41.6% of total)

const: 2.0ms (27.7% of total)

ival-div: 1.0ms (13.9% of total)

ival-atan: 1.0ms (13.9% of total)

ival-sub: 1.0ms (13.9% of total)

ival-sqrt: 1.0ms (13.9% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

simplify27.0ms (0.4%)

Memory

-26.1MiB live, 56.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	72	295
1	79	295

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 v #s(literal -13999999999999999624126215218373424466723756628999792018937385960434328649190950682933561119844203475201553338089456373175085254909523321112146188185894912 binary64)) (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64))) (if (<=.f64 v #s(literal 100000000000000004625108135904199474001226272395072688491888727201272553753779650923383419882203425131989662450489690590919397689516441796634752009109504 binary64)) (atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (.f64 #s(literal -98/5 binary64) H))))) (atan.f64 #s(approx (/ v (sqrt (- ( v v) (* (* 2 49/5) H)))) #s(literal 1 binary64)))))
(if (<=.f64 v #s(literal -6591783121186793/1267650600228229401496703205376 binary64)) (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64))) (if (<=.f64 v #s(literal 68000000000000000000000 binary64)) #s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (.f64 (sqrt.f64 #s(approx (/ 1 (+ ( -98/5 H) (* v v))) (.f64 (/.f64 #s(literal -1 binary64) H) #s(literal 5/98 binary64)))) v))) (atan.f64 (/.f64 v #s(approx (sqrt (- ( v v) (* (* 2 49/5) H))) (fma.f64 (/.f64 #s(literal -49/5 binary64) v) H v))))))
(if (<=.f64 v #s(literal -6591783121186793/1267650600228229401496703205376 binary64)) (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64))) (if (<=.f64 v #s(literal 68000000000000000000000 binary64)) #s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (.f64 (sqrt.f64 #s(approx (/ 1 (+ ( -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H))) v))) (atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 (/.f64 #s(literal -49/5 binary64) v) H v))))))
(if (<=.f64 v #s(literal -6591783121186793/1267650600228229401496703205376 binary64)) (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64))) (if (<=.f64 v #s(literal 68000000000000000000000 binary64)) #s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (.f64 (sqrt.f64 #s(approx (/ 1 (+ ( -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H))) v))) (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64))))))
(if (<=.f64 v #s(literal 4051998235156121/98829225247710262867429368515096341332791332892647518728955741224331220492185227974590031104217345944915565363435943316108305047551656971126471386689813725547615929822542168634993607295943953291620980311754270053008792716515963231747120779125566189619536160406425180445475300105093018814544105228831057745755716670455808 binary64)) (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64))) (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64))))
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64)))

Outputs
(if (<=.f64 v #s(literal -13999999999999999624126215218373424466723756628999792018937385960434328649190950682933561119844203475201553338089456373175085254909523321112146188185894912 binary64)) (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64))) (if (<=.f64 v #s(literal 100000000000000004625108135904199474001226272395072688491888727201272553753779650923383419882203425131989662450489690590919397689516441796634752009109504 binary64)) (atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (.f64 #s(literal -98/5 binary64) H))))) (atan.f64 #s(approx (/ v (sqrt (- ( v v) (* (* 2 49/5) H)))) #s(literal 1 binary64)))))
(if (<=.f64 v #s(literal -6591783121186793/1267650600228229401496703205376 binary64)) (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64))) (if (<=.f64 v #s(literal 68000000000000000000000 binary64)) #s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (.f64 (sqrt.f64 #s(approx (/ 1 (+ ( -98/5 H) (* v v))) (.f64 #s(literal 5/98 binary64) (/.f64 #s(literal -1 binary64) H)))) v))) (atan.f64 (/.f64 v #s(approx (sqrt (- ( v v) (* (* 2 49/5) H))) (fma.f64 (/.f64 #s(literal -49/5 binary64) v) H v))))))
(if (<=.f64 v #s(literal -6591783121186793/1267650600228229401496703205376 binary64)) (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64))) (if (<=.f64 v #s(literal 68000000000000000000000 binary64)) #s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (.f64 (sqrt.f64 #s(approx (/ 1 (+ ( -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H))) v))) (atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 (/.f64 #s(literal -49/5 binary64) v) H v))))))
(if (<=.f64 v #s(literal -6591783121186793/1267650600228229401496703205376 binary64)) (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64))) (if (<=.f64 v #s(literal 68000000000000000000000 binary64)) #s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (.f64 (sqrt.f64 #s(approx (/ 1 (+ ( -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H))) v))) (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64))))))
(if (<=.f64 v #s(literal 4051998235156121/98829225247710262867429368515096341332791332892647518728955741224331220492185227974590031104217345944915565363435943316108305047551656971126471386689813725547615929822542168634993607295943953291620980311754270053008792716515963231747120779125566189619536160406425180445475300105093018814544105228831057745755716670455808 binary64)) (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64))) (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64))))
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64)))

soundness699.0ms (9%)

Memory

3.4MiB live, 675.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	323	1843
1	933	1797
2	3156	1774
3	7233	1741
0	8250	1626
0	631	9853
1	1906	9548
2	6403	9492
0	8161	8907
0	11	40
0	19	40
1	50	40
2	275	40
3	2260	40
0	8978	36
0	48	307
0	68	254
1	245	250
2	1312	236
0	9354	236

Stop Event

1×	fuel
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit

Compiler

Compiled 456 to 204 computations (55.3% saved)

preprocess77.0ms (1%)

Memory: 15.6MiB live, 92.3MiB allocated
Compiler: Compiled 672 to 170 computations (74.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	11	47
0	19	47
1	26	47
2	36	47
3	45	47
4	61	47
5	82	47
6	126	47
7	173	47
8	229	47
9	286	47
10	375	47
11	415	47
12	504	47
13	526	47
14	534	47
0	534	43

Iter	Nodes	Cost
0	11	47
0	19	47
1	26	47
2	36	47
3	45	47
4	61	47
5	82	47
6	126	47
7	173	47
8	229	47
9	286	47
10	375	47
11	415	47
12	504	47
13	526	47
14	534	47
0	534	43

start0.0ms (0%)

analyze54.0ms (0.7%)

sample1.4s (17.9%)

explain139.0ms (1.8%)

preprocess50.0ms (0.6%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify21.0ms (0.3%)

localize38.0ms (0.5%)

series21.0ms (0.3%)

simplify160.0ms (2.1%)

rewrite190.0ms (2.5%)

eval69.0ms (0.9%)

prune20.0ms (0.3%)

simplify83.0ms (1.1%)

localize127.0ms (1.6%)

series48.0ms (0.6%)

simplify205.0ms (2.7%)

rewrite251.0ms (3.2%)

eval618.0ms (8%)

prune122.0ms (1.6%)

simplify357.0ms (4.6%)

localize320.0ms (4.1%)

series76.0ms (1%)

simplify244.0ms (3.2%)

rewrite248.0ms (3.2%)

eval510.0ms (6.6%)

prune138.0ms (1.8%)

simplify241.0ms (3.1%)

localize191.0ms (2.5%)

series68.0ms (0.9%)

simplify246.0ms (3.2%)

rewrite166.0ms (2.1%)

eval206.0ms (2.7%)

prune41.0ms (0.5%)

regimes43.0ms (0.6%)

regimes81.0ms (1.1%)

regimes4.0ms (0.1%)

regimes3.0ms (0%)

regimes37.0ms (0.5%)

regimes7.0ms (0.1%)

bsearch26.0ms (0.3%)

bsearch46.0ms (0.6%)

bsearch3.0ms (0%)

bsearch5.0ms (0.1%)

bsearch17.0ms (0.2%)

simplify27.0ms (0.4%)

soundness699.0ms (9%)

preprocess77.0ms (1%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	11	47
0	19	47
1	26	47
2	36	47
3	45	47
4	61	47
5	82	47
6	126	47
7	173	47
8	229	47
9	286	47
10	375	47
11	415	47
12	504	47
13	526	47
14	534	47
0	534	43